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Finding the Fourth Proportional to 4,331.75, 5,978.00 and 2,737.82

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Solution

The fourth proportional to 4,331.75, 5,978.00 and 2,737.82 is: 3,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.75 : 5,978.00 = 2,737.82 : x
  2. Step 2: Convert to fraction form
    4,331.75/5,978.00 = 2,737.82/x
  3. Step 3: Cross multiply
    4,331.75x = 5,978.00 × 2,737.82
  4. Step 4: Simplify right side
    4,331.75x = 16,366,644.38
  5. Step 5: Solve for x
    x = 16,366,644.38/4,331.75
  6. Step 6: Final answer
    x = 3,778.30

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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.