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Finding the Fourth Proportional to 3,867.84, 5,337.59 and 2,099.43

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Solution

The fourth proportional to 3,867.84, 5,337.59 and 2,099.43 is: 2,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.84 : 5,337.59 = 2,099.43 : x
  2. Step 2: Convert to fraction form
    3,867.84/5,337.59 = 2,099.43/x
  3. Step 3: Cross multiply
    3,867.84x = 5,337.59 × 2,099.43
  4. Step 4: Simplify right side
    3,867.84x = 11,205,886.08
  5. Step 5: Solve for x
    x = 11,205,886.08/3,867.84
  6. Step 6: Final answer
    x = 2,897.19

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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.