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Finding the Fourth Proportional to 3,972.42, 5,481.81 and 2,400.24

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Solution

The fourth proportional to 3,972.42, 5,481.81 and 2,400.24 is: 3,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.42 : 5,481.81 = 2,400.24 : x
  2. Step 2: Convert to fraction form
    3,972.42/5,481.81 = 2,400.24/x
  3. Step 3: Cross multiply
    3,972.42x = 5,481.81 × 2,400.24
  4. Step 4: Simplify right side
    3,972.42x = 13,157,659.63
  5. Step 5: Solve for x
    x = 13,157,659.63/3,972.42
  6. Step 6: Final answer
    x = 3,312.25

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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.