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Finding the Fourth Proportional to 3,432.06, 5,148.36 and 966.90

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Solution

The fourth proportional to 3,432.06, 5,148.36 and 966.90 is: 1,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.06 : 5,148.36 = 966.90 : x
  2. Step 2: Convert to fraction form
    3,432.06/5,148.36 = 966.90/x
  3. Step 3: Cross multiply
    3,432.06x = 5,148.36 × 966.90
  4. Step 4: Simplify right side
    3,432.06x = 4,977,949.28
  5. Step 5: Solve for x
    x = 4,977,949.28/3,432.06
  6. Step 6: Final answer
    x = 1,450.43

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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.