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Finding the Fourth Proportional to 3,952.38, 5,452.59 and 2,774.22

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Solution

The fourth proportional to 3,952.38, 5,452.59 and 2,774.22 is: 3,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.38 : 5,452.59 = 2,774.22 : x
  2. Step 2: Convert to fraction form
    3,952.38/5,452.59 = 2,774.22/x
  3. Step 3: Cross multiply
    3,952.38x = 5,452.59 × 2,774.22
  4. Step 4: Simplify right side
    3,952.38x = 15,126,684.23
  5. Step 5: Solve for x
    x = 15,126,684.23/3,952.38
  6. Step 6: Final answer
    x = 3,827.23

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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.