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Finding the Fourth Proportional to 3,737.90, 5,580.57 and 2,855.78

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Solution

The fourth proportional to 3,737.90, 5,580.57 and 2,855.78 is: 4,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.90 : 5,580.57 = 2,855.78 : x
  2. Step 2: Convert to fraction form
    3,737.90/5,580.57 = 2,855.78/x
  3. Step 3: Cross multiply
    3,737.90x = 5,580.57 × 2,855.78
  4. Step 4: Simplify right side
    3,737.90x = 15,936,865.92
  5. Step 5: Solve for x
    x = 15,936,865.92/3,737.90
  6. Step 6: Final answer
    x = 4,263.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.