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Finding the Fourth Proportional to 3,432.95, 5,149.31 and 1,351.46

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Solution

The fourth proportional to 3,432.95, 5,149.31 and 1,351.46 is: 2,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.95 : 5,149.31 = 1,351.46 : x
  2. Step 2: Convert to fraction form
    3,432.95/5,149.31 = 1,351.46/x
  3. Step 3: Cross multiply
    3,432.95x = 5,149.31 × 1,351.46
  4. Step 4: Simplify right side
    3,432.95x = 6,959,060.75
  5. Step 5: Solve for x
    x = 6,959,060.75/3,432.95
  6. Step 6: Final answer
    x = 2,027.14

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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.