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Finding the Fourth Proportional to 5,886.52, 8,824.14 and 2,187.76

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Solution

The fourth proportional to 5,886.52, 8,824.14 and 2,187.76 is: 3,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.52 : 8,824.14 = 2,187.76 : x
  2. Step 2: Convert to fraction form
    5,886.52/8,824.14 = 2,187.76/x
  3. Step 3: Cross multiply
    5,886.52x = 8,824.14 × 2,187.76
  4. Step 4: Simplify right side
    5,886.52x = 19,305,100.53
  5. Step 5: Solve for x
    x = 19,305,100.53/5,886.52
  6. Step 6: Final answer
    x = 3,279.54

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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.