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Finding the Fourth Proportional to 3,970.38, 5,481.70 and 2,480.36

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Solution

The fourth proportional to 3,970.38, 5,481.70 and 2,480.36 is: 3,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.38 : 5,481.70 = 2,480.36 : x
  2. Step 2: Convert to fraction form
    3,970.38/5,481.70 = 2,480.36/x
  3. Step 3: Cross multiply
    3,970.38x = 5,481.70 × 2,480.36
  4. Step 4: Simplify right side
    3,970.38x = 13,596,589.41
  5. Step 5: Solve for x
    x = 13,596,589.41/3,970.38
  6. Step 6: Final answer
    x = 3,424.51

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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.