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Finding the Fourth Proportional to 3,695.32, 5,542.15 and 1,062.82

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Solution

The fourth proportional to 3,695.32, 5,542.15 and 1,062.82 is: 1,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.32 : 5,542.15 = 1,062.82 : x
  2. Step 2: Convert to fraction form
    3,695.32/5,542.15 = 1,062.82/x
  3. Step 3: Cross multiply
    3,695.32x = 5,542.15 × 1,062.82
  4. Step 4: Simplify right side
    3,695.32x = 5,890,311.14
  5. Step 5: Solve for x
    x = 5,890,311.14/3,695.32
  6. Step 6: Final answer
    x = 1,593.99

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