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Finding the Fourth Proportional to 3,867.58, 5,337.30 and 2,099.22

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Solution

The fourth proportional to 3,867.58, 5,337.30 and 2,099.22 is: 2,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.58 : 5,337.30 = 2,099.22 : x
  2. Step 2: Convert to fraction form
    3,867.58/5,337.30 = 2,099.22/x
  3. Step 3: Cross multiply
    3,867.58x = 5,337.30 × 2,099.22
  4. Step 4: Simplify right side
    3,867.58x = 11,204,166.91
  5. Step 5: Solve for x
    x = 11,204,166.91/3,867.58
  6. Step 6: Final answer
    x = 2,896.95

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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.