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Finding the Fourth Proportional to 5,645.87, 7,791.10 and 3,255.95

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Solution

The fourth proportional to 5,645.87, 7,791.10 and 3,255.95 is: 4,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.87 : 7,791.10 = 3,255.95 : x
  2. Step 2: Convert to fraction form
    5,645.87/7,791.10 = 3,255.95/x
  3. Step 3: Cross multiply
    5,645.87x = 7,791.10 × 3,255.95
  4. Step 4: Simplify right side
    5,645.87x = 25,367,384.19
  5. Step 5: Solve for x
    x = 25,367,384.19/5,645.87
  6. Step 6: Final answer
    x = 4,493.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.