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Finding the Fourth Proportional to 3,970.62, 5,479.56 and 2,398.38

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Solution

The fourth proportional to 3,970.62, 5,479.56 and 2,398.38 is: 3,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.62 : 5,479.56 = 2,398.38 : x
  2. Step 2: Convert to fraction form
    3,970.62/5,479.56 = 2,398.38/x
  3. Step 3: Cross multiply
    3,970.62x = 5,479.56 × 2,398.38
  4. Step 4: Simplify right side
    3,970.62x = 13,142,067.11
  5. Step 5: Solve for x
    x = 13,142,067.11/3,970.62
  6. Step 6: Final answer
    x = 3,309.83

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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.