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Finding the Fourth Proportional to 3,449.96, 5,176.18 and 2,132.17

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Solution

The fourth proportional to 3,449.96, 5,176.18 and 2,132.17 is: 3,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.96 : 5,176.18 = 2,132.17 : x
  2. Step 2: Convert to fraction form
    3,449.96/5,176.18 = 2,132.17/x
  3. Step 3: Cross multiply
    3,449.96x = 5,176.18 × 2,132.17
  4. Step 4: Simplify right side
    3,449.96x = 11,036,469.83
  5. Step 5: Solve for x
    x = 11,036,469.83/3,449.96
  6. Step 6: Final answer
    x = 3,199.02

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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.