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Finding the Fourth Proportional to 3,402.75, 5,104.86 and 1,062.71

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Solution

The fourth proportional to 3,402.75, 5,104.86 and 1,062.71 is: 1,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.75 : 5,104.86 = 1,062.71 : x
  2. Step 2: Convert to fraction form
    3,402.75/5,104.86 = 1,062.71/x
  3. Step 3: Cross multiply
    3,402.75x = 5,104.86 × 1,062.71
  4. Step 4: Simplify right side
    3,402.75x = 5,424,960.25
  5. Step 5: Solve for x
    x = 5,424,960.25/3,402.75
  6. Step 6: Final answer
    x = 1,594.29

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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.