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Finding the Fourth Proportional to 4,451.90, 6,672.98 and 3,149.42

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Solution

The fourth proportional to 4,451.90, 6,672.98 and 3,149.42 is: 4,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.90 : 6,672.98 = 3,149.42 : x
  2. Step 2: Convert to fraction form
    4,451.90/6,672.98 = 3,149.42/x
  3. Step 3: Cross multiply
    4,451.90x = 6,672.98 × 3,149.42
  4. Step 4: Simplify right side
    4,451.90x = 21,016,016.67
  5. Step 5: Solve for x
    x = 21,016,016.67/4,451.90
  6. Step 6: Final answer
    x = 4,720.68

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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.