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Finding the Fourth Proportional to 3,419.60, 5,129.42 and 2,640.74

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Solution

The fourth proportional to 3,419.60, 5,129.42 and 2,640.74 is: 3,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.60 : 5,129.42 = 2,640.74 : x
  2. Step 2: Convert to fraction form
    3,419.60/5,129.42 = 2,640.74/x
  3. Step 3: Cross multiply
    3,419.60x = 5,129.42 × 2,640.74
  4. Step 4: Simplify right side
    3,419.60x = 13,545,464.57
  5. Step 5: Solve for x
    x = 13,545,464.57/3,419.60
  6. Step 6: Final answer
    x = 3,961.13

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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.