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Finding the Fourth Proportional to 6,279.88, 9,422.88 and 2,583.22

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Solution

The fourth proportional to 6,279.88, 9,422.88 and 2,583.22 is: 3,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.88 : 9,422.88 = 2,583.22 : x
  2. Step 2: Convert to fraction form
    6,279.88/9,422.88 = 2,583.22/x
  3. Step 3: Cross multiply
    6,279.88x = 9,422.88 × 2,583.22
  4. Step 4: Simplify right side
    6,279.88x = 24,341,372.07
  5. Step 5: Solve for x
    x = 24,341,372.07/6,279.88
  6. Step 6: Final answer
    x = 3,876.09

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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.