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Finding the Fourth Proportional to 5,882.92, 8,824.38 and 2,374.52

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Solution

The fourth proportional to 5,882.92, 8,824.38 and 2,374.52 is: 3,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.92 : 8,824.38 = 2,374.52 : x
  2. Step 2: Convert to fraction form
    5,882.92/8,824.38 = 2,374.52/x
  3. Step 3: Cross multiply
    5,882.92x = 8,824.38 × 2,374.52
  4. Step 4: Simplify right side
    5,882.92x = 20,953,666.80
  5. Step 5: Solve for x
    x = 20,953,666.80/5,882.92
  6. Step 6: Final answer
    x = 3,561.78

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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.