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Finding the Fourth Proportional to 5,737.52, 7,919.70 and 3,723.68

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Solution

The fourth proportional to 5,737.52, 7,919.70 and 3,723.68 is: 5,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.52 : 7,919.70 = 3,723.68 : x
  2. Step 2: Convert to fraction form
    5,737.52/7,919.70 = 3,723.68/x
  3. Step 3: Cross multiply
    5,737.52x = 7,919.70 × 3,723.68
  4. Step 4: Simplify right side
    5,737.52x = 29,490,428.50
  5. Step 5: Solve for x
    x = 29,490,428.50/5,737.52
  6. Step 6: Final answer
    x = 5,139.93

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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.