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Finding the Fourth Proportional to 4,149.52, 5,726.30 and 2,286.52

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Solution

The fourth proportional to 4,149.52, 5,726.30 and 2,286.52 is: 3,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.52 : 5,726.30 = 2,286.52 : x
  2. Step 2: Convert to fraction form
    4,149.52/5,726.30 = 2,286.52/x
  3. Step 3: Cross multiply
    4,149.52x = 5,726.30 × 2,286.52
  4. Step 4: Simplify right side
    4,149.52x = 13,093,299.48
  5. Step 5: Solve for x
    x = 13,093,299.48/4,149.52
  6. Step 6: Final answer
    x = 3,155.38

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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.