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Finding the Fourth Proportional to 3,972.44, 5,482.03 and 2,293.97

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Solution

The fourth proportional to 3,972.44, 5,482.03 and 2,293.97 is: 3,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.44 : 5,482.03 = 2,293.97 : x
  2. Step 2: Convert to fraction form
    3,972.44/5,482.03 = 2,293.97/x
  3. Step 3: Cross multiply
    3,972.44x = 5,482.03 × 2,293.97
  4. Step 4: Simplify right side
    3,972.44x = 12,575,614.35
  5. Step 5: Solve for x
    x = 12,575,614.35/3,972.44
  6. Step 6: Final answer
    x = 3,165.71

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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.