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Finding the Fourth Proportional to 3,867.71, 5,337.44 and 2,099.34

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Solution

The fourth proportional to 3,867.71, 5,337.44 and 2,099.34 is: 2,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.71 : 5,337.44 = 2,099.34 : x
  2. Step 2: Convert to fraction form
    3,867.71/5,337.44 = 2,099.34/x
  3. Step 3: Cross multiply
    3,867.71x = 5,337.44 × 2,099.34
  4. Step 4: Simplify right side
    3,867.71x = 11,205,090.79
  5. Step 5: Solve for x
    x = 11,205,090.79/3,867.71
  6. Step 6: Final answer
    x = 2,897.09

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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.