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Finding the Fourth Proportional to 3,737.61, 5,596.97 and 2,419.20

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Solution

The fourth proportional to 3,737.61, 5,596.97 and 2,419.20 is: 3,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.61 : 5,596.97 = 2,419.20 : x
  2. Step 2: Convert to fraction form
    3,737.61/5,596.97 = 2,419.20/x
  3. Step 3: Cross multiply
    3,737.61x = 5,596.97 × 2,419.20
  4. Step 4: Simplify right side
    3,737.61x = 13,540,177.73
  5. Step 5: Solve for x
    x = 13,540,177.73/3,737.61
  6. Step 6: Final answer
    x = 3,622.68

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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.