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Finding the Fourth Proportional to 3,663.72, 5,497.92 and 1,472.04

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Solution

The fourth proportional to 3,663.72, 5,497.92 and 1,472.04 is: 2,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.72 : 5,497.92 = 1,472.04 : x
  2. Step 2: Convert to fraction form
    3,663.72/5,497.92 = 1,472.04/x
  3. Step 3: Cross multiply
    3,663.72x = 5,497.92 × 1,472.04
  4. Step 4: Simplify right side
    3,663.72x = 8,093,158.16
  5. Step 5: Solve for x
    x = 8,093,158.16/3,663.72
  6. Step 6: Final answer
    x = 2,209.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.