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Finding the Fourth Proportional to 5,763.57, 8,644.97 and 2,065.61

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Solution

The fourth proportional to 5,763.57, 8,644.97 and 2,065.61 is: 3,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.57 : 8,644.97 = 2,065.61 : x
  2. Step 2: Convert to fraction form
    5,763.57/8,644.97 = 2,065.61/x
  3. Step 3: Cross multiply
    5,763.57x = 8,644.97 × 2,065.61
  4. Step 4: Simplify right side
    5,763.57x = 17,857,082.93
  5. Step 5: Solve for x
    x = 17,857,082.93/5,763.57
  6. Step 6: Final answer
    x = 3,098.27

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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.