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Finding the Fourth Proportional to 5,162.12, 7,737.89 and 2,040.86

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Solution

The fourth proportional to 5,162.12, 7,737.89 and 2,040.86 is: 3,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.12 : 7,737.89 = 2,040.86 : x
  2. Step 2: Convert to fraction form
    5,162.12/7,737.89 = 2,040.86/x
  3. Step 3: Cross multiply
    5,162.12x = 7,737.89 × 2,040.86
  4. Step 4: Simplify right side
    5,162.12x = 15,791,939.98
  5. Step 5: Solve for x
    x = 15,791,939.98/5,162.12
  6. Step 6: Final answer
    x = 3,059.20

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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.