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Finding the Fourth Proportional to 5,744.57, 8,616.90 and 3,146.09

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Solution

The fourth proportional to 5,744.57, 8,616.90 and 3,146.09 is: 4,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.57 : 8,616.90 = 3,146.09 : x
  2. Step 2: Convert to fraction form
    5,744.57/8,616.90 = 3,146.09/x
  3. Step 3: Cross multiply
    5,744.57x = 8,616.90 × 3,146.09
  4. Step 4: Simplify right side
    5,744.57x = 27,109,576.26
  5. Step 5: Solve for x
    x = 27,109,576.26/5,744.57
  6. Step 6: Final answer
    x = 4,719.16

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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.