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Finding the Fourth Proportional to 6,394.90, 8,825.38 and 3,877.24

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Solution

The fourth proportional to 6,394.90, 8,825.38 and 3,877.24 is: 5,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.90 : 8,825.38 = 3,877.24 : x
  2. Step 2: Convert to fraction form
    6,394.90/8,825.38 = 3,877.24/x
  3. Step 3: Cross multiply
    6,394.90x = 8,825.38 × 3,877.24
  4. Step 4: Simplify right side
    6,394.90x = 34,218,116.35
  5. Step 5: Solve for x
    x = 34,218,116.35/6,394.90
  6. Step 6: Final answer
    x = 5,350.84

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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.