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Finding the Fourth Proportional to 4,249.17, 5,862.21 and 3,132.75

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Solution

The fourth proportional to 4,249.17, 5,862.21 and 3,132.75 is: 4,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.17 : 5,862.21 = 3,132.75 : x
  2. Step 2: Convert to fraction form
    4,249.17/5,862.21 = 3,132.75/x
  3. Step 3: Cross multiply
    4,249.17x = 5,862.21 × 3,132.75
  4. Step 4: Simplify right side
    4,249.17x = 18,364,838.38
  5. Step 5: Solve for x
    x = 18,364,838.38/4,249.17
  6. Step 6: Final answer
    x = 4,321.98

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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.