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Finding the Fourth Proportional to 3,833.91, 5,760.45 and 2,447.87

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Solution

The fourth proportional to 3,833.91, 5,760.45 and 2,447.87 is: 3,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.91 : 5,760.45 = 2,447.87 : x
  2. Step 2: Convert to fraction form
    3,833.91/5,760.45 = 2,447.87/x
  3. Step 3: Cross multiply
    3,833.91x = 5,760.45 × 2,447.87
  4. Step 4: Simplify right side
    3,833.91x = 14,100,803.94
  5. Step 5: Solve for x
    x = 14,100,803.94/3,833.91
  6. Step 6: Final answer
    x = 3,677.92

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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.