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Finding the Fourth Proportional to 3,442.74, 5,159.46 and 2,209.52

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Solution

The fourth proportional to 3,442.74, 5,159.46 and 2,209.52 is: 3,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.74 : 5,159.46 = 2,209.52 : x
  2. Step 2: Convert to fraction form
    3,442.74/5,159.46 = 2,209.52/x
  3. Step 3: Cross multiply
    3,442.74x = 5,159.46 × 2,209.52
  4. Step 4: Simplify right side
    3,442.74x = 11,399,930.06
  5. Step 5: Solve for x
    x = 11,399,930.06/3,442.74
  6. Step 6: Final answer
    x = 3,311.30

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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.