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Finding the Fourth Proportional to 4,112.88, 6,165 and 1,919.80

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Solution

The fourth proportional to 4,112.88, 6,165 and 1,919.80 is: 2,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.88 : 6,165 = 1,919.80 : x
  2. Step 2: Convert to fraction form
    4,112.88/6,165 = 1,919.80/x
  3. Step 3: Cross multiply
    4,112.88x = 6,165 × 1,919.80
  4. Step 4: Simplify right side
    4,112.88x = 11,835,567
  5. Step 5: Solve for x
    x = 11,835,567/4,112.88
  6. Step 6: Final answer
    x = 2,877.68

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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.