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Finding the Fourth Proportional to 3,460.86, 4,775.90 and 3,182.22

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Solution

The fourth proportional to 3,460.86, 4,775.90 and 3,182.22 is: 4,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.86 : 4,775.90 = 3,182.22 : x
  2. Step 2: Convert to fraction form
    3,460.86/4,775.90 = 3,182.22/x
  3. Step 3: Cross multiply
    3,460.86x = 4,775.90 × 3,182.22
  4. Step 4: Simplify right side
    3,460.86x = 15,197,948.59
  5. Step 5: Solve for x
    x = 15,197,948.59/3,460.86
  6. Step 6: Final answer
    x = 4,391.38

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Find fourth proportional to 1,730.43, 2,387.95 and 1,591.11
Half scale
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Double scale
Find fourth proportional to 3,461.86, 4,777.27 and 3,183.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.