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Finding the Fourth Proportional to 5,641.60, 7,785.29 and 3,123.71

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Solution

The fourth proportional to 5,641.60, 7,785.29 and 3,123.71 is: 4,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.60 : 7,785.29 = 3,123.71 : x
  2. Step 2: Convert to fraction form
    5,641.60/7,785.29 = 3,123.71/x
  3. Step 3: Cross multiply
    5,641.60x = 7,785.29 × 3,123.71
  4. Step 4: Simplify right side
    5,641.60x = 24,318,988.23
  5. Step 5: Solve for x
    x = 24,318,988.23/5,641.60
  6. Step 6: Final answer
    x = 4,310.65

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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.