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Finding the Fourth Proportional to 3,545.68, 5,319.92 and 1,597.44

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Solution

The fourth proportional to 3,545.68, 5,319.92 and 1,597.44 is: 2,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.68 : 5,319.92 = 1,597.44 : x
  2. Step 2: Convert to fraction form
    3,545.68/5,319.92 = 1,597.44/x
  3. Step 3: Cross multiply
    3,545.68x = 5,319.92 × 1,597.44
  4. Step 4: Simplify right side
    3,545.68x = 8,498,253.00
  5. Step 5: Solve for x
    x = 8,498,253.00/3,545.68
  6. Step 6: Final answer
    x = 2,396.79

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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.