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Finding the Fourth Proportional to 4,761.80, 7,139.14 and 2,294.32

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Solution

The fourth proportional to 4,761.80, 7,139.14 and 2,294.32 is: 3,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.80 : 7,139.14 = 2,294.32 : x
  2. Step 2: Convert to fraction form
    4,761.80/7,139.14 = 2,294.32/x
  3. Step 3: Cross multiply
    4,761.80x = 7,139.14 × 2,294.32
  4. Step 4: Simplify right side
    4,761.80x = 16,379,471.68
  5. Step 5: Solve for x
    x = 16,379,471.68/4,761.80
  6. Step 6: Final answer
    x = 3,439.76

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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.