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Finding the Fourth Proportional to 3,972.22, 5,481.80 and 2,400

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Solution

The fourth proportional to 3,972.22, 5,481.80 and 2,400 is: 3,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.22 : 5,481.80 = 2,400 : x
  2. Step 2: Convert to fraction form
    3,972.22/5,481.80 = 2,400/x
  3. Step 3: Cross multiply
    3,972.22x = 5,481.80 × 2,400
  4. Step 4: Simplify right side
    3,972.22x = 13,156,320
  5. Step 5: Solve for x
    x = 13,156,320/3,972.22
  6. Step 6: Final answer
    x = 3,312.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.