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Finding the Fourth Proportional to 3,824.88, 5,279.46 and 2,498.78

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Solution

The fourth proportional to 3,824.88, 5,279.46 and 2,498.78 is: 3,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.88 : 5,279.46 = 2,498.78 : x
  2. Step 2: Convert to fraction form
    3,824.88/5,279.46 = 2,498.78/x
  3. Step 3: Cross multiply
    3,824.88x = 5,279.46 × 2,498.78
  4. Step 4: Simplify right side
    3,824.88x = 13,192,209.06
  5. Step 5: Solve for x
    x = 13,192,209.06/3,824.88
  6. Step 6: Final answer
    x = 3,449.05

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