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Finding the Fourth Proportional to 3,984.25, 5,976.39 and 1,248.25

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Solution

The fourth proportional to 3,984.25, 5,976.39 and 1,248.25 is: 1,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.25 : 5,976.39 = 1,248.25 : x
  2. Step 2: Convert to fraction form
    3,984.25/5,976.39 = 1,248.25/x
  3. Step 3: Cross multiply
    3,984.25x = 5,976.39 × 1,248.25
  4. Step 4: Simplify right side
    3,984.25x = 7,460,028.82
  5. Step 5: Solve for x
    x = 7,460,028.82/3,984.25
  6. Step 6: Final answer
    x = 1,872.38

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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.