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Finding the Fourth Proportional to 3,862.17, 5,793.30 and 1,264.50

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Solution

The fourth proportional to 3,862.17, 5,793.30 and 1,264.50 is: 1,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.17 : 5,793.30 = 1,264.50 : x
  2. Step 2: Convert to fraction form
    3,862.17/5,793.30 = 1,264.50/x
  3. Step 3: Cross multiply
    3,862.17x = 5,793.30 × 1,264.50
  4. Step 4: Simplify right side
    3,862.17x = 7,325,627.85
  5. Step 5: Solve for x
    x = 7,325,627.85/3,862.17
  6. Step 6: Final answer
    x = 1,896.76

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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.