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Finding the Fourth Proportional to 4,107.90, 6,163.92 and 1,916.80

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Solution

The fourth proportional to 4,107.90, 6,163.92 and 1,916.80 is: 2,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.90 : 6,163.92 = 1,916.80 : x
  2. Step 2: Convert to fraction form
    4,107.90/6,163.92 = 1,916.80/x
  3. Step 3: Cross multiply
    4,107.90x = 6,163.92 × 1,916.80
  4. Step 4: Simplify right side
    4,107.90x = 11,815,001.86
  5. Step 5: Solve for x
    x = 11,815,001.86/4,107.90
  6. Step 6: Final answer
    x = 2,876.17

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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.