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Finding the Fourth Proportional to 3,425.38, 4,729.34 and 2,248.46

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Solution

The fourth proportional to 3,425.38, 4,729.34 and 2,248.46 is: 3,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.38 : 4,729.34 = 2,248.46 : x
  2. Step 2: Convert to fraction form
    3,425.38/4,729.34 = 2,248.46/x
  3. Step 3: Cross multiply
    3,425.38x = 4,729.34 × 2,248.46
  4. Step 4: Simplify right side
    3,425.38x = 10,633,731.82
  5. Step 5: Solve for x
    x = 10,633,731.82/3,425.38
  6. Step 6: Final answer
    x = 3,104.39

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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.