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Finding the Fourth Proportional to 3,474.02, 5,207.90 and 1,282.20

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Solution

The fourth proportional to 3,474.02, 5,207.90 and 1,282.20 is: 1,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.02 : 5,207.90 = 1,282.20 : x
  2. Step 2: Convert to fraction form
    3,474.02/5,207.90 = 1,282.20/x
  3. Step 3: Cross multiply
    3,474.02x = 5,207.90 × 1,282.20
  4. Step 4: Simplify right side
    3,474.02x = 6,677,562.97
  5. Step 5: Solve for x
    x = 6,677,562.97/3,474.02
  6. Step 6: Final answer
    x = 1,922.15

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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.