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Finding the Fourth Proportional to 3,847.28, 5,771.86 and 1,348.11

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Solution

The fourth proportional to 3,847.28, 5,771.86 and 1,348.11 is: 2,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.28 : 5,771.86 = 1,348.11 : x
  2. Step 2: Convert to fraction form
    3,847.28/5,771.86 = 1,348.11/x
  3. Step 3: Cross multiply
    3,847.28x = 5,771.86 × 1,348.11
  4. Step 4: Simplify right side
    3,847.28x = 7,781,098.81
  5. Step 5: Solve for x
    x = 7,781,098.81/3,847.28
  6. Step 6: Final answer
    x = 2,022.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.