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Finding the Fourth Proportional to 3,538.61, 5,308.68 and 1,073.61

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Solution

The fourth proportional to 3,538.61, 5,308.68 and 1,073.61 is: 1,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.61 : 5,308.68 = 1,073.61 : x
  2. Step 2: Convert to fraction form
    3,538.61/5,308.68 = 1,073.61/x
  3. Step 3: Cross multiply
    3,538.61x = 5,308.68 × 1,073.61
  4. Step 4: Simplify right side
    3,538.61x = 5,699,451.93
  5. Step 5: Solve for x
    x = 5,699,451.93/3,538.61
  6. Step 6: Final answer
    x = 1,610.65

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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.