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Finding the Fourth Proportional to 3,257.88, 4,494 and 2,372.64

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Solution

The fourth proportional to 3,257.88, 4,494 and 2,372.64 is: 3,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.88 : 4,494 = 2,372.64 : x
  2. Step 2: Convert to fraction form
    3,257.88/4,494 = 2,372.64/x
  3. Step 3: Cross multiply
    3,257.88x = 4,494 × 2,372.64
  4. Step 4: Simplify right side
    3,257.88x = 10,662,644.16
  5. Step 5: Solve for x
    x = 10,662,644.16/3,257.88
  6. Step 6: Final answer
    x = 3,272.88

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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.