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Finding the Fourth Proportional to 3,874.08, 5,817.95 and 2,887.17

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Solution

The fourth proportional to 3,874.08, 5,817.95 and 2,887.17 is: 4,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.08 : 5,817.95 = 2,887.17 : x
  2. Step 2: Convert to fraction form
    3,874.08/5,817.95 = 2,887.17/x
  3. Step 3: Cross multiply
    3,874.08x = 5,817.95 × 2,887.17
  4. Step 4: Simplify right side
    3,874.08x = 16,797,396.27
  5. Step 5: Solve for x
    x = 16,797,396.27/3,874.08
  6. Step 6: Final answer
    x = 4,335.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.