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Finding the Fourth Proportional to 3,972.97, 5,482.76 and 2,204.69

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Solution

The fourth proportional to 3,972.97, 5,482.76 and 2,204.69 is: 3,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.97 : 5,482.76 = 2,204.69 : x
  2. Step 2: Convert to fraction form
    3,972.97/5,482.76 = 2,204.69/x
  3. Step 3: Cross multiply
    3,972.97x = 5,482.76 × 2,204.69
  4. Step 4: Simplify right side
    3,972.97x = 12,087,812.57
  5. Step 5: Solve for x
    x = 12,087,812.57/3,972.97
  6. Step 6: Final answer
    x = 3,042.51

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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.