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Finding the Fourth Proportional to 3,149.87, 4,347 and 1,824.03

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Solution

The fourth proportional to 3,149.87, 4,347 and 1,824.03 is: 2,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.87 : 4,347 = 1,824.03 : x
  2. Step 2: Convert to fraction form
    3,149.87/4,347 = 1,824.03/x
  3. Step 3: Cross multiply
    3,149.87x = 4,347 × 1,824.03
  4. Step 4: Simplify right side
    3,149.87x = 7,929,058.41
  5. Step 5: Solve for x
    x = 7,929,058.41/3,149.87
  6. Step 6: Final answer
    x = 2,517.27

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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.