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Finding the Fourth Proportional to 3,972.96, 5,482.62 and 2,204.55

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Solution

The fourth proportional to 3,972.96, 5,482.62 and 2,204.55 is: 3,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.96 : 5,482.62 = 2,204.55 : x
  2. Step 2: Convert to fraction form
    3,972.96/5,482.62 = 2,204.55/x
  3. Step 3: Cross multiply
    3,972.96x = 5,482.62 × 2,204.55
  4. Step 4: Simplify right side
    3,972.96x = 12,086,709.92
  5. Step 5: Solve for x
    x = 12,086,709.92/3,972.96
  6. Step 6: Final answer
    x = 3,042.24

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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.