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Finding the Fourth Proportional to 6,344.18, 8,753.38 and 3,827.78

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Solution

The fourth proportional to 6,344.18, 8,753.38 and 3,827.78 is: 5,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.18 : 8,753.38 = 3,827.78 : x
  2. Step 2: Convert to fraction form
    6,344.18/8,753.38 = 3,827.78/x
  3. Step 3: Cross multiply
    6,344.18x = 8,753.38 × 3,827.78
  4. Step 4: Simplify right side
    6,344.18x = 33,506,012.90
  5. Step 5: Solve for x
    x = 33,506,012.90/6,344.18
  6. Step 6: Final answer
    x = 5,281.38

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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.