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Finding the Fourth Proportional to 3,893.76, 5,373.12 and 2,125.38

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Solution

The fourth proportional to 3,893.76, 5,373.12 and 2,125.38 is: 2,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.76 : 5,373.12 = 2,125.38 : x
  2. Step 2: Convert to fraction form
    3,893.76/5,373.12 = 2,125.38/x
  3. Step 3: Cross multiply
    3,893.76x = 5,373.12 × 2,125.38
  4. Step 4: Simplify right side
    3,893.76x = 11,419,921.79
  5. Step 5: Solve for x
    x = 11,419,921.79/3,893.76
  6. Step 6: Final answer
    x = 2,932.88

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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.