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Finding the Fourth Proportional to 5,882.44, 8,116.48 and 3,397

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Solution

The fourth proportional to 5,882.44, 8,116.48 and 3,397 is: 4,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.44 : 8,116.48 = 3,397 : x
  2. Step 2: Convert to fraction form
    5,882.44/8,116.48 = 3,397/x
  3. Step 3: Cross multiply
    5,882.44x = 8,116.48 × 3,397
  4. Step 4: Simplify right side
    5,882.44x = 27,571,682.56
  5. Step 5: Solve for x
    x = 27,571,682.56/5,882.44
  6. Step 6: Final answer
    x = 4,687.12

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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.