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Finding the Fourth Proportional to 3,757.41, 5,184.60 and 2,078.49

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Solution

The fourth proportional to 3,757.41, 5,184.60 and 2,078.49 is: 2,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.41 : 5,184.60 = 2,078.49 : x
  2. Step 2: Convert to fraction form
    3,757.41/5,184.60 = 2,078.49/x
  3. Step 3: Cross multiply
    3,757.41x = 5,184.60 × 2,078.49
  4. Step 4: Simplify right side
    3,757.41x = 10,776,139.25
  5. Step 5: Solve for x
    x = 10,776,139.25/3,757.41
  6. Step 6: Final answer
    x = 2,867.97

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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.