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Finding the Fourth Proportional to 4,761.90, 7,143.87 and 2,422.23

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Solution

The fourth proportional to 4,761.90, 7,143.87 and 2,422.23 is: 3,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.90 : 7,143.87 = 2,422.23 : x
  2. Step 2: Convert to fraction form
    4,761.90/7,143.87 = 2,422.23/x
  3. Step 3: Cross multiply
    4,761.90x = 7,143.87 × 2,422.23
  4. Step 4: Simplify right side
    4,761.90x = 17,304,096.23
  5. Step 5: Solve for x
    x = 17,304,096.23/4,761.90
  6. Step 6: Final answer
    x = 3,633.86

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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.