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Finding the Fourth Proportional to 4,112.70, 6,169.05 and 3,821.10

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Solution

The fourth proportional to 4,112.70, 6,169.05 and 3,821.10 is: 5,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.70 : 6,169.05 = 3,821.10 : x
  2. Step 2: Convert to fraction form
    4,112.70/6,169.05 = 3,821.10/x
  3. Step 3: Cross multiply
    4,112.70x = 6,169.05 × 3,821.10
  4. Step 4: Simplify right side
    4,112.70x = 23,572,556.96
  5. Step 5: Solve for x
    x = 23,572,556.96/4,112.70
  6. Step 6: Final answer
    x = 5,731.65

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Similar ratio
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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.