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Finding the Fourth Proportional to 3,691.82, 5,538.03 and 1,059.32

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Solution

The fourth proportional to 3,691.82, 5,538.03 and 1,059.32 is: 1,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.82 : 5,538.03 = 1,059.32 : x
  2. Step 2: Convert to fraction form
    3,691.82/5,538.03 = 1,059.32/x
  3. Step 3: Cross multiply
    3,691.82x = 5,538.03 × 1,059.32
  4. Step 4: Simplify right side
    3,691.82x = 5,866,518.25
  5. Step 5: Solve for x
    x = 5,866,518.25/3,691.82
  6. Step 6: Final answer
    x = 1,589.06

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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.