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Finding the Fourth Proportional to 4,714.92, 7,067.86 and 2,249.08

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Solution

The fourth proportional to 4,714.92, 7,067.86 and 2,249.08 is: 3,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.92 : 7,067.86 = 2,249.08 : x
  2. Step 2: Convert to fraction form
    4,714.92/7,067.86 = 2,249.08/x
  3. Step 3: Cross multiply
    4,714.92x = 7,067.86 × 2,249.08
  4. Step 4: Simplify right side
    4,714.92x = 15,896,182.57
  5. Step 5: Solve for x
    x = 15,896,182.57/4,714.92
  6. Step 6: Final answer
    x = 3,371.46

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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.