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Finding the Fourth Proportional to 3,763.53, 5,644.62 and 2,012.04

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Solution

The fourth proportional to 3,763.53, 5,644.62 and 2,012.04 is: 3,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.53 : 5,644.62 = 2,012.04 : x
  2. Step 2: Convert to fraction form
    3,763.53/5,644.62 = 2,012.04/x
  3. Step 3: Cross multiply
    3,763.53x = 5,644.62 × 2,012.04
  4. Step 4: Simplify right side
    3,763.53x = 11,357,201.22
  5. Step 5: Solve for x
    x = 11,357,201.22/3,763.53
  6. Step 6: Final answer
    x = 3,017.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.