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Finding the Fourth Proportional to 3,972.98, 5,482.50 and 2,204.54

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Solution

The fourth proportional to 3,972.98, 5,482.50 and 2,204.54 is: 3,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.98 : 5,482.50 = 2,204.54 : x
  2. Step 2: Convert to fraction form
    3,972.98/5,482.50 = 2,204.54/x
  3. Step 3: Cross multiply
    3,972.98x = 5,482.50 × 2,204.54
  4. Step 4: Simplify right side
    3,972.98x = 12,086,363.14
  5. Step 5: Solve for x
    x = 12,086,363.14/3,972.98
  6. Step 6: Final answer
    x = 3,042.14

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1.5x scale

Why These Related Problems?

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