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Finding the Fourth Proportional to 3,747.60, 5,613.86 and 1,867.82

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Solution

The fourth proportional to 3,747.60, 5,613.86 and 1,867.82 is: 2,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.60 : 5,613.86 = 1,867.82 : x
  2. Step 2: Convert to fraction form
    3,747.60/5,613.86 = 1,867.82/x
  3. Step 3: Cross multiply
    3,747.60x = 5,613.86 × 1,867.82
  4. Step 4: Simplify right side
    3,747.60x = 10,485,679.99
  5. Step 5: Solve for x
    x = 10,485,679.99/3,747.60
  6. Step 6: Final answer
    x = 2,797.97

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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.