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Finding the Fourth Proportional to 3,451.68, 4,734.65 and 3,422.03

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Solution

The fourth proportional to 3,451.68, 4,734.65 and 3,422.03 is: 4,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.68 : 4,734.65 = 3,422.03 : x
  2. Step 2: Convert to fraction form
    3,451.68/4,734.65 = 3,422.03/x
  3. Step 3: Cross multiply
    3,451.68x = 4,734.65 × 3,422.03
  4. Step 4: Simplify right side
    3,451.68x = 16,202,073.56
  5. Step 5: Solve for x
    x = 16,202,073.56/3,451.68
  6. Step 6: Final answer
    x = 4,693.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.