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Finding the Fourth Proportional to 3,737.89, 5,156.13 and 2,338.21

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Solution

The fourth proportional to 3,737.89, 5,156.13 and 2,338.21 is: 3,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.89 : 5,156.13 = 2,338.21 : x
  2. Step 2: Convert to fraction form
    3,737.89/5,156.13 = 2,338.21/x
  3. Step 3: Cross multiply
    3,737.89x = 5,156.13 × 2,338.21
  4. Step 4: Simplify right side
    3,737.89x = 12,056,114.73
  5. Step 5: Solve for x
    x = 12,056,114.73/3,737.89
  6. Step 6: Final answer
    x = 3,225.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.