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Finding the Fourth Proportional to 5,697.29, 8,539.55 and 3,726.71

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Solution

The fourth proportional to 5,697.29, 8,539.55 and 3,726.71 is: 5,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.29 : 8,539.55 = 3,726.71 : x
  2. Step 2: Convert to fraction form
    5,697.29/8,539.55 = 3,726.71/x
  3. Step 3: Cross multiply
    5,697.29x = 8,539.55 × 3,726.71
  4. Step 4: Simplify right side
    5,697.29x = 31,824,421.53
  5. Step 5: Solve for x
    x = 31,824,421.53/5,697.29
  6. Step 6: Final answer
    x = 5,585.89

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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.