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Finding the Fourth Proportional to 3,719.59, 5,578.57 and 1,744

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Solution

The fourth proportional to 3,719.59, 5,578.57 and 1,744 is: 2,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.59 : 5,578.57 = 1,744 : x
  2. Step 2: Convert to fraction form
    3,719.59/5,578.57 = 1,744/x
  3. Step 3: Cross multiply
    3,719.59x = 5,578.57 × 1,744
  4. Step 4: Simplify right side
    3,719.59x = 9,729,026.08
  5. Step 5: Solve for x
    x = 9,729,026.08/3,719.59
  6. Step 6: Final answer
    x = 2,615.62

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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.