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Finding the Fourth Proportional to 3,827.72, 5,279.28 and 2,886.68

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Solution

The fourth proportional to 3,827.72, 5,279.28 and 2,886.68 is: 3,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.72 : 5,279.28 = 2,886.68 : x
  2. Step 2: Convert to fraction form
    3,827.72/5,279.28 = 2,886.68/x
  3. Step 3: Cross multiply
    3,827.72x = 5,279.28 × 2,886.68
  4. Step 4: Simplify right side
    3,827.72x = 15,239,591.99
  5. Step 5: Solve for x
    x = 15,239,591.99/3,827.72
  6. Step 6: Final answer
    x = 3,981.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.