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Finding the Fourth Proportional to 6,380.97, 8,803.70 and 3,862.27

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Solution

The fourth proportional to 6,380.97, 8,803.70 and 3,862.27 is: 5,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.97 : 8,803.70 = 3,862.27 : x
  2. Step 2: Convert to fraction form
    6,380.97/8,803.70 = 3,862.27/x
  3. Step 3: Cross multiply
    6,380.97x = 8,803.70 × 3,862.27
  4. Step 4: Simplify right side
    6,380.97x = 34,002,266.40
  5. Step 5: Solve for x
    x = 34,002,266.40/6,380.97
  6. Step 6: Final answer
    x = 5,328.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.