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Finding the Fourth Proportional to 3,763.66, 5,644.38 and 1,131.04

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Solution

The fourth proportional to 3,763.66, 5,644.38 and 1,131.04 is: 1,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.66 : 5,644.38 = 1,131.04 : x
  2. Step 2: Convert to fraction form
    3,763.66/5,644.38 = 1,131.04/x
  3. Step 3: Cross multiply
    3,763.66x = 5,644.38 × 1,131.04
  4. Step 4: Simplify right side
    3,763.66x = 6,384,019.56
  5. Step 5: Solve for x
    x = 6,384,019.56/3,763.66
  6. Step 6: Final answer
    x = 1,696.23

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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.