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Finding the Fourth Proportional to 5,715.36, 7,882.92 and 3,728.16

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Solution

The fourth proportional to 5,715.36, 7,882.92 and 3,728.16 is: 5,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.36 : 7,882.92 = 3,728.16 : x
  2. Step 2: Convert to fraction form
    5,715.36/7,882.92 = 3,728.16/x
  3. Step 3: Cross multiply
    5,715.36x = 7,882.92 × 3,728.16
  4. Step 4: Simplify right side
    5,715.36x = 29,388,787.03
  5. Step 5: Solve for x
    x = 29,388,787.03/5,715.36
  6. Step 6: Final answer
    x = 5,142.07

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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.