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Finding the Fourth Proportional to 3,826.49, 5,279.92 and 2,254.88

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Solution

The fourth proportional to 3,826.49, 5,279.92 and 2,254.88 is: 3,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.49 : 5,279.92 = 2,254.88 : x
  2. Step 2: Convert to fraction form
    3,826.49/5,279.92 = 2,254.88/x
  3. Step 3: Cross multiply
    3,826.49x = 5,279.92 × 2,254.88
  4. Step 4: Simplify right side
    3,826.49x = 11,905,593.57
  5. Step 5: Solve for x
    x = 11,905,593.57/3,826.49
  6. Step 6: Final answer
    x = 3,111.37

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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.