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Finding the Fourth Proportional to 3,847.27, 5,772.26 and 1,250.20

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Solution

The fourth proportional to 3,847.27, 5,772.26 and 1,250.20 is: 1,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.27 : 5,772.26 = 1,250.20 : x
  2. Step 2: Convert to fraction form
    3,847.27/5,772.26 = 1,250.20/x
  3. Step 3: Cross multiply
    3,847.27x = 5,772.26 × 1,250.20
  4. Step 4: Simplify right side
    3,847.27x = 7,216,479.45
  5. Step 5: Solve for x
    x = 7,216,479.45/3,847.27
  6. Step 6: Final answer
    x = 1,875.74

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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.