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Finding the Fourth Proportional to 3,432.53, 5,148.33 and 967.56

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Solution

The fourth proportional to 3,432.53, 5,148.33 and 967.56 is: 1,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.53 : 5,148.33 = 967.56 : x
  2. Step 2: Convert to fraction form
    3,432.53/5,148.33 = 967.56/x
  3. Step 3: Cross multiply
    3,432.53x = 5,148.33 × 967.56
  4. Step 4: Simplify right side
    3,432.53x = 4,981,318.17
  5. Step 5: Solve for x
    x = 4,981,318.17/3,432.53
  6. Step 6: Final answer
    x = 1,451.21

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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.