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Finding the Fourth Proportional to 3,864.03, 5,332.62 and 3,724.62

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Solution

The fourth proportional to 3,864.03, 5,332.62 and 3,724.62 is: 5,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.03 : 5,332.62 = 3,724.62 : x
  2. Step 2: Convert to fraction form
    3,864.03/5,332.62 = 3,724.62/x
  3. Step 3: Cross multiply
    3,864.03x = 5,332.62 × 3,724.62
  4. Step 4: Simplify right side
    3,864.03x = 19,861,983.10
  5. Step 5: Solve for x
    x = 19,861,983.10/3,864.03
  6. Step 6: Final answer
    x = 5,140.22

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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.