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Finding the Fourth Proportional to 3,698.80, 5,103.11 and 2,440.48

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Solution

The fourth proportional to 3,698.80, 5,103.11 and 2,440.48 is: 3,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.80 : 5,103.11 = 2,440.48 : x
  2. Step 2: Convert to fraction form
    3,698.80/5,103.11 = 2,440.48/x
  3. Step 3: Cross multiply
    3,698.80x = 5,103.11 × 2,440.48
  4. Step 4: Simplify right side
    3,698.80x = 12,454,012.38
  5. Step 5: Solve for x
    x = 12,454,012.38/3,698.80
  6. Step 6: Final answer
    x = 3,367.05

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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.