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Finding the Fourth Proportional to 4,951.85, 7,422.64 and 2,029.91

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Solution

The fourth proportional to 4,951.85, 7,422.64 and 2,029.91 is: 3,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.85 : 7,422.64 = 2,029.91 : x
  2. Step 2: Convert to fraction form
    4,951.85/7,422.64 = 2,029.91/x
  3. Step 3: Cross multiply
    4,951.85x = 7,422.64 × 2,029.91
  4. Step 4: Simplify right side
    4,951.85x = 15,067,248.97
  5. Step 5: Solve for x
    x = 15,067,248.97/4,951.85
  6. Step 6: Final answer
    x = 3,042.75

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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.