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Finding the Fourth Proportional to 3,432.52, 5,148.80 and 1,380.52

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Solution

The fourth proportional to 3,432.52, 5,148.80 and 1,380.52 is: 2,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.52 : 5,148.80 = 1,380.52 : x
  2. Step 2: Convert to fraction form
    3,432.52/5,148.80 = 1,380.52/x
  3. Step 3: Cross multiply
    3,432.52x = 5,148.80 × 1,380.52
  4. Step 4: Simplify right side
    3,432.52x = 7,108,021.38
  5. Step 5: Solve for x
    x = 7,108,021.38/3,432.52
  6. Step 6: Final answer
    x = 2,070.79

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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.