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Finding the Fourth Proportional to 3,833.64, 5,750.46 and 2,675.88

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Solution

The fourth proportional to 3,833.64, 5,750.46 and 2,675.88 is: 4,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,750.46 = 2,675.88 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,750.46 = 2,675.88/x
  3. Step 3: Cross multiply
    3,833.64x = 5,750.46 × 2,675.88
  4. Step 4: Simplify right side
    3,833.64x = 15,387,540.90
  5. Step 5: Solve for x
    x = 15,387,540.90/3,833.64
  6. Step 6: Final answer
    x = 4,013.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.