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Finding the Fourth Proportional to 5,641.28, 7,785.42 and 3,124.18

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Solution

The fourth proportional to 5,641.28, 7,785.42 and 3,124.18 is: 4,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.28 : 7,785.42 = 3,124.18 : x
  2. Step 2: Convert to fraction form
    5,641.28/7,785.42 = 3,124.18/x
  3. Step 3: Cross multiply
    5,641.28x = 7,785.42 × 3,124.18
  4. Step 4: Simplify right side
    5,641.28x = 24,323,053.46
  5. Step 5: Solve for x
    x = 24,323,053.46/5,641.28
  6. Step 6: Final answer
    x = 4,311.62

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