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Finding the Fourth Proportional to 6,158.31, 8,497.14 and 3,469.52

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Solution

The fourth proportional to 6,158.31, 8,497.14 and 3,469.52 is: 4,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.31 : 8,497.14 = 3,469.52 : x
  2. Step 2: Convert to fraction form
    6,158.31/8,497.14 = 3,469.52/x
  3. Step 3: Cross multiply
    6,158.31x = 8,497.14 × 3,469.52
  4. Step 4: Simplify right side
    6,158.31x = 29,480,954.69
  5. Step 5: Solve for x
    x = 29,480,954.69/6,158.31
  6. Step 6: Final answer
    x = 4,787.18

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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.