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Finding the Fourth Proportional to 5,581.76, 8,366.78 and 1,882.71

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Solution

The fourth proportional to 5,581.76, 8,366.78 and 1,882.71 is: 2,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.76 : 8,366.78 = 1,882.71 : x
  2. Step 2: Convert to fraction form
    5,581.76/8,366.78 = 1,882.71/x
  3. Step 3: Cross multiply
    5,581.76x = 8,366.78 × 1,882.71
  4. Step 4: Simplify right side
    5,581.76x = 15,752,220.37
  5. Step 5: Solve for x
    x = 15,752,220.37/5,581.76
  6. Step 6: Final answer
    x = 2,822.09

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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.