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Finding the Fourth Proportional to 5,516.57, 7,607.72 and 3,724.38

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Solution

The fourth proportional to 5,516.57, 7,607.72 and 3,724.38 is: 5,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516.57 : 7,607.72 = 3,724.38 : x
  2. Step 2: Convert to fraction form
    5,516.57/7,607.72 = 3,724.38/x
  3. Step 3: Cross multiply
    5,516.57x = 7,607.72 × 3,724.38
  4. Step 4: Simplify right side
    5,516.57x = 28,334,049.52
  5. Step 5: Solve for x
    x = 28,334,049.52/5,516.57
  6. Step 6: Final answer
    x = 5,136.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.