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Finding the Fourth Proportional to 5,744.76, 8,616.90 and 2,049.24

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Solution

The fourth proportional to 5,744.76, 8,616.90 and 2,049.24 is: 3,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.76 : 8,616.90 = 2,049.24 : x
  2. Step 2: Convert to fraction form
    5,744.76/8,616.90 = 2,049.24/x
  3. Step 3: Cross multiply
    5,744.76x = 8,616.90 × 2,049.24
  4. Step 4: Simplify right side
    5,744.76x = 17,658,096.16
  5. Step 5: Solve for x
    x = 17,658,096.16/5,744.76
  6. Step 6: Final answer
    x = 3,073.77

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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.