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Finding the Fourth Proportional to 3,970.80, 5,481.36 and 2,398.50

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Solution

The fourth proportional to 3,970.80, 5,481.36 and 2,398.50 is: 3,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.80 : 5,481.36 = 2,398.50 : x
  2. Step 2: Convert to fraction form
    3,970.80/5,481.36 = 2,398.50/x
  3. Step 3: Cross multiply
    3,970.80x = 5,481.36 × 2,398.50
  4. Step 4: Simplify right side
    3,970.80x = 13,147,041.96
  5. Step 5: Solve for x
    x = 13,147,041.96/3,970.80
  6. Step 6: Final answer
    x = 3,310.93

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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.