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Finding the Fourth Proportional to 3,763.13, 5,644.69 and 1,027.13

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Solution

The fourth proportional to 3,763.13, 5,644.69 and 1,027.13 is: 1,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 5,644.69 = 1,027.13 : x
  2. Step 2: Convert to fraction form
    3,763.13/5,644.69 = 1,027.13/x
  3. Step 3: Cross multiply
    3,763.13x = 5,644.69 × 1,027.13
  4. Step 4: Simplify right side
    3,763.13x = 5,797,799.65
  5. Step 5: Solve for x
    x = 5,797,799.65/3,763.13
  6. Step 6: Final answer
    x = 1,540.69

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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.