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Finding the Fourth Proportional to 3,663.92, 5,496 and 1,066.88

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Solution

The fourth proportional to 3,663.92, 5,496 and 1,066.88 is: 1,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.92 : 5,496 = 1,066.88 : x
  2. Step 2: Convert to fraction form
    3,663.92/5,496 = 1,066.88/x
  3. Step 3: Cross multiply
    3,663.92x = 5,496 × 1,066.88
  4. Step 4: Simplify right side
    3,663.92x = 5,863,572.48
  5. Step 5: Solve for x
    x = 5,863,572.48/3,663.92
  6. Step 6: Final answer
    x = 1,600.35

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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.