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Finding the Fourth Proportional to 3,867.60, 5,337.22 and 2,099.24

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Solution

The fourth proportional to 3,867.60, 5,337.22 and 2,099.24 is: 2,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.60 : 5,337.22 = 2,099.24 : x
  2. Step 2: Convert to fraction form
    3,867.60/5,337.22 = 2,099.24/x
  3. Step 3: Cross multiply
    3,867.60x = 5,337.22 × 2,099.24
  4. Step 4: Simplify right side
    3,867.60x = 11,204,105.71
  5. Step 5: Solve for x
    x = 11,204,105.71/3,867.60
  6. Step 6: Final answer
    x = 2,896.91

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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.