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Finding the Fourth Proportional to 3,882.17, 5,824.15 and 1,108.88

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Solution

The fourth proportional to 3,882.17, 5,824.15 and 1,108.88 is: 1,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.17 : 5,824.15 = 1,108.88 : x
  2. Step 2: Convert to fraction form
    3,882.17/5,824.15 = 1,108.88/x
  3. Step 3: Cross multiply
    3,882.17x = 5,824.15 × 1,108.88
  4. Step 4: Simplify right side
    3,882.17x = 6,458,254.33
  5. Step 5: Solve for x
    x = 6,458,254.33/3,882.17
  6. Step 6: Final answer
    x = 1,663.57

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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.