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Finding the Fourth Proportional to 3,377.68, 5,067.05 and 1,429.90

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Solution

The fourth proportional to 3,377.68, 5,067.05 and 1,429.90 is: 2,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.68 : 5,067.05 = 1,429.90 : x
  2. Step 2: Convert to fraction form
    3,377.68/5,067.05 = 1,429.90/x
  3. Step 3: Cross multiply
    3,377.68x = 5,067.05 × 1,429.90
  4. Step 4: Simplify right side
    3,377.68x = 7,245,374.80
  5. Step 5: Solve for x
    x = 7,245,374.80/3,377.68
  6. Step 6: Final answer
    x = 2,145.07

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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.