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Finding the Fourth Proportional to 3,928.68, 5,891.04 and 1,738.08

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Solution

The fourth proportional to 3,928.68, 5,891.04 and 1,738.08 is: 2,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.68 : 5,891.04 = 1,738.08 : x
  2. Step 2: Convert to fraction form
    3,928.68/5,891.04 = 1,738.08/x
  3. Step 3: Cross multiply
    3,928.68x = 5,891.04 × 1,738.08
  4. Step 4: Simplify right side
    3,928.68x = 10,239,098.80
  5. Step 5: Solve for x
    x = 10,239,098.80/3,928.68
  6. Step 6: Final answer
    x = 2,606.24

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