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Finding the Fourth Proportional to 3,737.88, 5,609.03 and 1,365.75

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Solution

The fourth proportional to 3,737.88, 5,609.03 and 1,365.75 is: 2,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.88 : 5,609.03 = 1,365.75 : x
  2. Step 2: Convert to fraction form
    3,737.88/5,609.03 = 1,365.75/x
  3. Step 3: Cross multiply
    3,737.88x = 5,609.03 × 1,365.75
  4. Step 4: Simplify right side
    3,737.88x = 7,660,512.04
  5. Step 5: Solve for x
    x = 7,660,512.04/3,737.88
  6. Step 6: Final answer
    x = 2,049.43

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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.