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Finding the Fourth Proportional to 3,545.33, 5,318.85 and 1,597.54

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Solution

The fourth proportional to 3,545.33, 5,318.85 and 1,597.54 is: 2,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.33 : 5,318.85 = 1,597.54 : x
  2. Step 2: Convert to fraction form
    3,545.33/5,318.85 = 1,597.54/x
  3. Step 3: Cross multiply
    3,545.33x = 5,318.85 × 1,597.54
  4. Step 4: Simplify right side
    3,545.33x = 8,497,053.61
  5. Step 5: Solve for x
    x = 8,497,053.61/3,545.33
  6. Step 6: Final answer
    x = 2,396.69

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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.