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Finding the Fourth Proportional to 3,809.01, 5,710.77 and 1,727.97

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Solution

The fourth proportional to 3,809.01, 5,710.77 and 1,727.97 is: 2,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.01 : 5,710.77 = 1,727.97 : x
  2. Step 2: Convert to fraction form
    3,809.01/5,710.77 = 1,727.97/x
  3. Step 3: Cross multiply
    3,809.01x = 5,710.77 × 1,727.97
  4. Step 4: Simplify right side
    3,809.01x = 9,868,039.24
  5. Step 5: Solve for x
    x = 9,868,039.24/3,809.01
  6. Step 6: Final answer
    x = 2,590.71

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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.