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Finding the Fourth Proportional to 5,098.62, 7,650.09 and 2,787.42

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Solution

The fourth proportional to 5,098.62, 7,650.09 and 2,787.42 is: 4,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.62 : 7,650.09 = 2,787.42 : x
  2. Step 2: Convert to fraction form
    5,098.62/7,650.09 = 2,787.42/x
  3. Step 3: Cross multiply
    5,098.62x = 7,650.09 × 2,787.42
  4. Step 4: Simplify right side
    5,098.62x = 21,324,013.87
  5. Step 5: Solve for x
    x = 21,324,013.87/5,098.62
  6. Step 6: Final answer
    x = 4,182.31

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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.