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Finding the Fourth Proportional to 5,727.92, 7,898.28 and 4,156.88

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Solution

The fourth proportional to 5,727.92, 7,898.28 and 4,156.88 is: 5,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.92 : 7,898.28 = 4,156.88 : x
  2. Step 2: Convert to fraction form
    5,727.92/7,898.28 = 4,156.88/x
  3. Step 3: Cross multiply
    5,727.92x = 7,898.28 × 4,156.88
  4. Step 4: Simplify right side
    5,727.92x = 32,832,202.17
  5. Step 5: Solve for x
    x = 32,832,202.17/5,727.92
  6. Step 6: Final answer
    x = 5,731.96

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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.