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Finding the Fourth Proportional to 3,638.63, 5,023.22 and 2,449.87

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Solution

The fourth proportional to 3,638.63, 5,023.22 and 2,449.87 is: 3,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.63 : 5,023.22 = 2,449.87 : x
  2. Step 2: Convert to fraction form
    3,638.63/5,023.22 = 2,449.87/x
  3. Step 3: Cross multiply
    3,638.63x = 5,023.22 × 2,449.87
  4. Step 4: Simplify right side
    3,638.63x = 12,306,207.80
  5. Step 5: Solve for x
    x = 12,306,207.80/3,638.63
  6. Step 6: Final answer
    x = 3,382.10

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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.