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Finding the Fourth Proportional to 3,853.23, 5,780.01 and 1,744.47

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Solution

The fourth proportional to 3,853.23, 5,780.01 and 1,744.47 is: 2,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.23 : 5,780.01 = 1,744.47 : x
  2. Step 2: Convert to fraction form
    3,853.23/5,780.01 = 1,744.47/x
  3. Step 3: Cross multiply
    3,853.23x = 5,780.01 × 1,744.47
  4. Step 4: Simplify right side
    3,853.23x = 10,083,054.04
  5. Step 5: Solve for x
    x = 10,083,054.04/3,853.23
  6. Step 6: Final answer
    x = 2,616.78

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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.