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Finding the Fourth Proportional to 3,659.54, 5,490.20 and 1,062.47

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Solution

The fourth proportional to 3,659.54, 5,490.20 and 1,062.47 is: 1,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.54 : 5,490.20 = 1,062.47 : x
  2. Step 2: Convert to fraction form
    3,659.54/5,490.20 = 1,062.47/x
  3. Step 3: Cross multiply
    3,659.54x = 5,490.20 × 1,062.47
  4. Step 4: Simplify right side
    3,659.54x = 5,833,189.18
  5. Step 5: Solve for x
    x = 5,833,189.18/3,659.54
  6. Step 6: Final answer
    x = 1,593.97

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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.