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Finding the Fourth Proportional to 3,713.87, 5,125.28 and 2,120.78

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Solution

The fourth proportional to 3,713.87, 5,125.28 and 2,120.78 is: 2,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.87 : 5,125.28 = 2,120.78 : x
  2. Step 2: Convert to fraction form
    3,713.87/5,125.28 = 2,120.78/x
  3. Step 3: Cross multiply
    3,713.87x = 5,125.28 × 2,120.78
  4. Step 4: Simplify right side
    3,713.87x = 10,869,574.75
  5. Step 5: Solve for x
    x = 10,869,574.75/3,713.87
  6. Step 6: Final answer
    x = 2,926.75

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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.