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Finding the Fourth Proportional to 3,763.45, 5,645.72 and 1,422.82

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Solution

The fourth proportional to 3,763.45, 5,645.72 and 1,422.82 is: 2,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.45 : 5,645.72 = 1,422.82 : x
  2. Step 2: Convert to fraction form
    3,763.45/5,645.72 = 1,422.82/x
  3. Step 3: Cross multiply
    3,763.45x = 5,645.72 × 1,422.82
  4. Step 4: Simplify right side
    3,763.45x = 8,032,843.33
  5. Step 5: Solve for x
    x = 8,032,843.33/3,763.45
  6. Step 6: Final answer
    x = 2,134.44

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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.