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Finding the Fourth Proportional to 3,972.99, 5,481.84 and 2,400.78

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Solution

The fourth proportional to 3,972.99, 5,481.84 and 2,400.78 is: 3,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.99 : 5,481.84 = 2,400.78 : x
  2. Step 2: Convert to fraction form
    3,972.99/5,481.84 = 2,400.78/x
  3. Step 3: Cross multiply
    3,972.99x = 5,481.84 × 2,400.78
  4. Step 4: Simplify right side
    3,972.99x = 13,160,691.84
  5. Step 5: Solve for x
    x = 13,160,691.84/3,972.99
  6. Step 6: Final answer
    x = 3,312.54

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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.