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Finding the Fourth Proportional to 3,446.12, 5,160.96 and 1,883.78

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Solution

The fourth proportional to 3,446.12, 5,160.96 and 1,883.78 is: 2,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.12 : 5,160.96 = 1,883.78 : x
  2. Step 2: Convert to fraction form
    3,446.12/5,160.96 = 1,883.78/x
  3. Step 3: Cross multiply
    3,446.12x = 5,160.96 × 1,883.78
  4. Step 4: Simplify right side
    3,446.12x = 9,722,113.23
  5. Step 5: Solve for x
    x = 9,722,113.23/3,446.12
  6. Step 6: Final answer
    x = 2,821.18

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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.