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Finding the Fourth Proportional to 5,340.97, 8,012.38 and 2,380.47

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Solution

The fourth proportional to 5,340.97, 8,012.38 and 2,380.47 is: 3,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.97 : 8,012.38 = 2,380.47 : x
  2. Step 2: Convert to fraction form
    5,340.97/8,012.38 = 2,380.47/x
  3. Step 3: Cross multiply
    5,340.97x = 8,012.38 × 2,380.47
  4. Step 4: Simplify right side
    5,340.97x = 19,073,230.22
  5. Step 5: Solve for x
    x = 19,073,230.22/5,340.97
  6. Step 6: Final answer
    x = 3,571.12

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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.