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Finding the Fourth Proportional to 5,641.29, 7,785.27 and 3,123.68

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Solution

The fourth proportional to 5,641.29, 7,785.27 and 3,123.68 is: 4,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.29 : 7,785.27 = 3,123.68 : x
  2. Step 2: Convert to fraction form
    5,641.29/7,785.27 = 3,123.68/x
  3. Step 3: Cross multiply
    5,641.29x = 7,785.27 × 3,123.68
  4. Step 4: Simplify right side
    5,641.29x = 24,318,713.14
  5. Step 5: Solve for x
    x = 24,318,713.14/5,641.29
  6. Step 6: Final answer
    x = 4,310.84

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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.