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Finding the Fourth Proportional to 3,447.40, 4,759.06 and 2,122.24

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Solution

The fourth proportional to 3,447.40, 4,759.06 and 2,122.24 is: 2,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.40 : 4,759.06 = 2,122.24 : x
  2. Step 2: Convert to fraction form
    3,447.40/4,759.06 = 2,122.24/x
  3. Step 3: Cross multiply
    3,447.40x = 4,759.06 × 2,122.24
  4. Step 4: Simplify right side
    3,447.40x = 10,099,843.70
  5. Step 5: Solve for x
    x = 10,099,843.70/3,447.40
  6. Step 6: Final answer
    x = 2,929.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.