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Finding the Fourth Proportional to 5,699.29, 8,542.55 and 3,728.71

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Solution

The fourth proportional to 5,699.29, 8,542.55 and 3,728.71 is: 5,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.29 : 8,542.55 = 3,728.71 : x
  2. Step 2: Convert to fraction form
    5,699.29/8,542.55 = 3,728.71/x
  3. Step 3: Cross multiply
    5,699.29x = 8,542.55 × 3,728.71
  4. Step 4: Simplify right side
    5,699.29x = 31,852,691.61
  5. Step 5: Solve for x
    x = 31,852,691.61/5,699.29
  6. Step 6: Final answer
    x = 5,588.89

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