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Finding the Fourth Proportional to 3,737.59, 5,606.25 and 1,544.68

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Solution

The fourth proportional to 3,737.59, 5,606.25 and 1,544.68 is: 2,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.59 : 5,606.25 = 1,544.68 : x
  2. Step 2: Convert to fraction form
    3,737.59/5,606.25 = 1,544.68/x
  3. Step 3: Cross multiply
    3,737.59x = 5,606.25 × 1,544.68
  4. Step 4: Simplify right side
    3,737.59x = 8,659,862.25
  5. Step 5: Solve for x
    x = 8,659,862.25/3,737.59
  6. Step 6: Final answer
    x = 2,316.96

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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.