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Finding the Fourth Proportional to 3,763.13, 5,644.85 and 1,422.90

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Solution

The fourth proportional to 3,763.13, 5,644.85 and 1,422.90 is: 2,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 5,644.85 = 1,422.90 : x
  2. Step 2: Convert to fraction form
    3,763.13/5,644.85 = 1,422.90/x
  3. Step 3: Cross multiply
    3,763.13x = 5,644.85 × 1,422.90
  4. Step 4: Simplify right side
    3,763.13x = 8,032,049.95
  5. Step 5: Solve for x
    x = 8,032,049.95/3,763.13
  6. Step 6: Final answer
    x = 2,134.41

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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.