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Finding the Fourth Proportional to 3,847.28, 5,771.76 and 1,250.16

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Solution

The fourth proportional to 3,847.28, 5,771.76 and 1,250.16 is: 1,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.28 : 5,771.76 = 1,250.16 : x
  2. Step 2: Convert to fraction form
    3,847.28/5,771.76 = 1,250.16/x
  3. Step 3: Cross multiply
    3,847.28x = 5,771.76 × 1,250.16
  4. Step 4: Simplify right side
    3,847.28x = 7,215,623.48
  5. Step 5: Solve for x
    x = 7,215,623.48/3,847.28
  6. Step 6: Final answer
    x = 1,875.51

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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.