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Finding the Fourth Proportional to 3,721.68, 5,578.20 and 1,769.40

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Solution

The fourth proportional to 3,721.68, 5,578.20 and 1,769.40 is: 2,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.68 : 5,578.20 = 1,769.40 : x
  2. Step 2: Convert to fraction form
    3,721.68/5,578.20 = 1,769.40/x
  3. Step 3: Cross multiply
    3,721.68x = 5,578.20 × 1,769.40
  4. Step 4: Simplify right side
    3,721.68x = 9,870,067.08
  5. Step 5: Solve for x
    x = 9,870,067.08/3,721.68
  6. Step 6: Final answer
    x = 2,652.05

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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.