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Finding the Fourth Proportional to 3,279.75, 4,527.42 and 2,648.76

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Solution

The fourth proportional to 3,279.75, 4,527.42 and 2,648.76 is: 3,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.75 : 4,527.42 = 2,648.76 : x
  2. Step 2: Convert to fraction form
    3,279.75/4,527.42 = 2,648.76/x
  3. Step 3: Cross multiply
    3,279.75x = 4,527.42 × 2,648.76
  4. Step 4: Simplify right side
    3,279.75x = 11,992,049.00
  5. Step 5: Solve for x
    x = 11,992,049.00/3,279.75
  6. Step 6: Final answer
    x = 3,656.39

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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.