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Finding the Fourth Proportional to 3,425.76, 5,139.90 and 1,781.28

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Solution

The fourth proportional to 3,425.76, 5,139.90 and 1,781.28 is: 2,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.76 : 5,139.90 = 1,781.28 : x
  2. Step 2: Convert to fraction form
    3,425.76/5,139.90 = 1,781.28/x
  3. Step 3: Cross multiply
    3,425.76x = 5,139.90 × 1,781.28
  4. Step 4: Simplify right side
    3,425.76x = 9,155,601.07
  5. Step 5: Solve for x
    x = 9,155,601.07/3,425.76
  6. Step 6: Final answer
    x = 2,672.58

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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.