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Finding the Fourth Proportional to 3,223.25, 4,447.85 and 1,825.97

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Solution

The fourth proportional to 3,223.25, 4,447.85 and 1,825.97 is: 2,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.25 : 4,447.85 = 1,825.97 : x
  2. Step 2: Convert to fraction form
    3,223.25/4,447.85 = 1,825.97/x
  3. Step 3: Cross multiply
    3,223.25x = 4,447.85 × 1,825.97
  4. Step 4: Simplify right side
    3,223.25x = 8,121,631.53
  5. Step 5: Solve for x
    x = 8,121,631.53/3,223.25
  6. Step 6: Final answer
    x = 2,519.70

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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.