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Finding the Fourth Proportional to 4,761.86, 7,144.47 and 2,129.12

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Solution

The fourth proportional to 4,761.86, 7,144.47 and 2,129.12 is: 3,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.86 : 7,144.47 = 2,129.12 : x
  2. Step 2: Convert to fraction form
    4,761.86/7,144.47 = 2,129.12/x
  3. Step 3: Cross multiply
    4,761.86x = 7,144.47 × 2,129.12
  4. Step 4: Simplify right side
    4,761.86x = 15,211,433.97
  5. Step 5: Solve for x
    x = 15,211,433.97/4,761.86
  6. Step 6: Final answer
    x = 3,194.43

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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.