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Finding the Fourth Proportional to 3,658.87, 5,489.18 and 1,193.69

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Solution

The fourth proportional to 3,658.87, 5,489.18 and 1,193.69 is: 1,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.87 : 5,489.18 = 1,193.69 : x
  2. Step 2: Convert to fraction form
    3,658.87/5,489.18 = 1,193.69/x
  3. Step 3: Cross multiply
    3,658.87x = 5,489.18 × 1,193.69
  4. Step 4: Simplify right side
    3,658.87x = 6,552,379.27
  5. Step 5: Solve for x
    x = 6,552,379.27/3,658.87
  6. Step 6: Final answer
    x = 1,790.82

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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.