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Finding the Fourth Proportional to 3,371.76, 4,654.96 and 2,568.78

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Solution

The fourth proportional to 3,371.76, 4,654.96 and 2,568.78 is: 3,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.76 : 4,654.96 = 2,568.78 : x
  2. Step 2: Convert to fraction form
    3,371.76/4,654.96 = 2,568.78/x
  3. Step 3: Cross multiply
    3,371.76x = 4,654.96 × 2,568.78
  4. Step 4: Simplify right side
    3,371.76x = 11,957,561.73
  5. Step 5: Solve for x
    x = 11,957,561.73/3,371.76
  6. Step 6: Final answer
    x = 3,546.39

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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.