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Finding the Fourth Proportional to 3,867.82, 5,337.54 and 2,099.41

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Solution

The fourth proportional to 3,867.82, 5,337.54 and 2,099.41 is: 2,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.82 : 5,337.54 = 2,099.41 : x
  2. Step 2: Convert to fraction form
    3,867.82/5,337.54 = 2,099.41/x
  3. Step 3: Cross multiply
    3,867.82x = 5,337.54 × 2,099.41
  4. Step 4: Simplify right side
    3,867.82x = 11,205,671.51
  5. Step 5: Solve for x
    x = 11,205,671.51/3,867.82
  6. Step 6: Final answer
    x = 2,897.16

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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.