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Finding the Fourth Proportional to 5,882.74, 8,822.15 and 2,371.84

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Solution

The fourth proportional to 5,882.74, 8,822.15 and 2,371.84 is: 3,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.74 : 8,822.15 = 2,371.84 : x
  2. Step 2: Convert to fraction form
    5,882.74/8,822.15 = 2,371.84/x
  3. Step 3: Cross multiply
    5,882.74x = 8,822.15 × 2,371.84
  4. Step 4: Simplify right side
    5,882.74x = 20,924,749.66
  5. Step 5: Solve for x
    x = 20,924,749.66/5,882.74
  6. Step 6: Final answer
    x = 3,556.97

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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.