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Finding the Fourth Proportional to 3,432.74, 5,143.70 and 2,654.64

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Solution

The fourth proportional to 3,432.74, 5,143.70 and 2,654.64 is: 3,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.74 : 5,143.70 = 2,654.64 : x
  2. Step 2: Convert to fraction form
    3,432.74/5,143.70 = 2,654.64/x
  3. Step 3: Cross multiply
    3,432.74x = 5,143.70 × 2,654.64
  4. Step 4: Simplify right side
    3,432.74x = 13,654,671.77
  5. Step 5: Solve for x
    x = 13,654,671.77/3,432.74
  6. Step 6: Final answer
    x = 3,977.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.