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Finding the Fourth Proportional to 3,659.04, 5,488.92 and 1,062

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Solution

The fourth proportional to 3,659.04, 5,488.92 and 1,062 is: 1,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.04 : 5,488.92 = 1,062 : x
  2. Step 2: Convert to fraction form
    3,659.04/5,488.92 = 1,062/x
  3. Step 3: Cross multiply
    3,659.04x = 5,488.92 × 1,062
  4. Step 4: Simplify right side
    3,659.04x = 5,829,233.04
  5. Step 5: Solve for x
    x = 5,829,233.04/3,659.04
  6. Step 6: Final answer
    x = 1,593.10

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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.