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Finding the Fourth Proportional to 3,763.26, 5,645.97 and 2,283.66

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Solution

The fourth proportional to 3,763.26, 5,645.97 and 2,283.66 is: 3,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.26 : 5,645.97 = 2,283.66 : x
  2. Step 2: Convert to fraction form
    3,763.26/5,645.97 = 2,283.66/x
  3. Step 3: Cross multiply
    3,763.26x = 5,645.97 × 2,283.66
  4. Step 4: Simplify right side
    3,763.26x = 12,893,475.85
  5. Step 5: Solve for x
    x = 12,893,475.85/3,763.26
  6. Step 6: Final answer
    x = 3,426.15

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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.