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Finding the Fourth Proportional to 3,864.92, 5,750.89 and 3,851.96

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Solution

The fourth proportional to 3,864.92, 5,750.89 and 3,851.96 is: 5,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.92 : 5,750.89 = 3,851.96 : x
  2. Step 2: Convert to fraction form
    3,864.92/5,750.89 = 3,851.96/x
  3. Step 3: Cross multiply
    3,864.92x = 5,750.89 × 3,851.96
  4. Step 4: Simplify right side
    3,864.92x = 22,152,198.24
  5. Step 5: Solve for x
    x = 22,152,198.24/3,864.92
  6. Step 6: Final answer
    x = 5,731.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.