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Finding the Fourth Proportional to 3,820.22, 5,730.33 and 1,046.92

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Solution

The fourth proportional to 3,820.22, 5,730.33 and 1,046.92 is: 1,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.22 : 5,730.33 = 1,046.92 : x
  2. Step 2: Convert to fraction form
    3,820.22/5,730.33 = 1,046.92/x
  3. Step 3: Cross multiply
    3,820.22x = 5,730.33 × 1,046.92
  4. Step 4: Simplify right side
    3,820.22x = 5,999,197.08
  5. Step 5: Solve for x
    x = 5,999,197.08/3,820.22
  6. Step 6: Final answer
    x = 1,570.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.