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Finding the Fourth Proportional to 3,919.88, 5,877.08 and 1,839.50

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Solution

The fourth proportional to 3,919.88, 5,877.08 and 1,839.50 is: 2,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.88 : 5,877.08 = 1,839.50 : x
  2. Step 2: Convert to fraction form
    3,919.88/5,877.08 = 1,839.50/x
  3. Step 3: Cross multiply
    3,919.88x = 5,877.08 × 1,839.50
  4. Step 4: Simplify right side
    3,919.88x = 10,810,850.08
  5. Step 5: Solve for x
    x = 10,810,850.08/3,919.88
  6. Step 6: Final answer
    x = 2,757.96

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Why These Related Problems?

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