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Finding the Fourth Proportional to 5,878.97, 8,819.98 and 2,182.26

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Solution

The fourth proportional to 5,878.97, 8,819.98 and 2,182.26 is: 3,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.97 : 8,819.98 = 2,182.26 : x
  2. Step 2: Convert to fraction form
    5,878.97/8,819.98 = 2,182.26/x
  3. Step 3: Cross multiply
    5,878.97x = 8,819.98 × 2,182.26
  4. Step 4: Simplify right side
    5,878.97x = 19,247,484.10
  5. Step 5: Solve for x
    x = 19,247,484.10/5,878.97
  6. Step 6: Final answer
    x = 3,273.95

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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.