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Finding the Fourth Proportional to 3,659.58, 5,489.37 and 1,062.52

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Solution

The fourth proportional to 3,659.58, 5,489.37 and 1,062.52 is: 1,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.58 : 5,489.37 = 1,062.52 : x
  2. Step 2: Convert to fraction form
    3,659.58/5,489.37 = 1,062.52/x
  3. Step 3: Cross multiply
    3,659.58x = 5,489.37 × 1,062.52
  4. Step 4: Simplify right side
    3,659.58x = 5,832,551.69
  5. Step 5: Solve for x
    x = 5,832,551.69/3,659.58
  6. Step 6: Final answer
    x = 1,593.78

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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.