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Finding the Fourth Proportional to 5,882.33, 8,103.84 and 4,387.43

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Solution

The fourth proportional to 5,882.33, 8,103.84 and 4,387.43 is: 6,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.33 : 8,103.84 = 4,387.43 : x
  2. Step 2: Convert to fraction form
    5,882.33/8,103.84 = 4,387.43/x
  3. Step 3: Cross multiply
    5,882.33x = 8,103.84 × 4,387.43
  4. Step 4: Simplify right side
    5,882.33x = 35,555,030.73
  5. Step 5: Solve for x
    x = 35,555,030.73/5,882.33
  6. Step 6: Final answer
    x = 6,044.38

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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.