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Finding the Fourth Proportional to 5,737.95, 8,600.78 and 2,963.88

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Solution

The fourth proportional to 5,737.95, 8,600.78 and 2,963.88 is: 4,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.95 : 8,600.78 = 2,963.88 : x
  2. Step 2: Convert to fraction form
    5,737.95/8,600.78 = 2,963.88/x
  3. Step 3: Cross multiply
    5,737.95x = 8,600.78 × 2,963.88
  4. Step 4: Simplify right side
    5,737.95x = 25,491,665.01
  5. Step 5: Solve for x
    x = 25,491,665.01/5,737.95
  6. Step 6: Final answer
    x = 4,442.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.