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Finding the Fourth Proportional to 5,839.24, 8,061.78 and 3,715.96

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Solution

The fourth proportional to 5,839.24, 8,061.78 and 3,715.96 is: 5,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.24 : 8,061.78 = 3,715.96 : x
  2. Step 2: Convert to fraction form
    5,839.24/8,061.78 = 3,715.96/x
  3. Step 3: Cross multiply
    5,839.24x = 8,061.78 × 3,715.96
  4. Step 4: Simplify right side
    5,839.24x = 29,957,252.01
  5. Step 5: Solve for x
    x = 29,957,252.01/5,839.24
  6. Step 6: Final answer
    x = 5,130.33

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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.