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Finding the Fourth Proportional to 3,972.24, 5,480.42 and 2,293.42

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Solution

The fourth proportional to 3,972.24, 5,480.42 and 2,293.42 is: 3,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.24 : 5,480.42 = 2,293.42 : x
  2. Step 2: Convert to fraction form
    3,972.24/5,480.42 = 2,293.42/x
  3. Step 3: Cross multiply
    3,972.24x = 5,480.42 × 2,293.42
  4. Step 4: Simplify right side
    3,972.24x = 12,568,904.84
  5. Step 5: Solve for x
    x = 12,568,904.84/3,972.24
  6. Step 6: Final answer
    x = 3,164.19

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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.