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Finding the Fourth Proportional to 4,138.80, 5,713.56 and 3,251.76

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Solution

The fourth proportional to 4,138.80, 5,713.56 and 3,251.76 is: 4,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.80 : 5,713.56 = 3,251.76 : x
  2. Step 2: Convert to fraction form
    4,138.80/5,713.56 = 3,251.76/x
  3. Step 3: Cross multiply
    4,138.80x = 5,713.56 × 3,251.76
  4. Step 4: Simplify right side
    4,138.80x = 18,579,125.87
  5. Step 5: Solve for x
    x = 18,579,125.87/4,138.80
  6. Step 6: Final answer
    x = 4,489.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.