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Finding the Fourth Proportional to 4,107.99, 6,161.41 and 1,334.70

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Solution

The fourth proportional to 4,107.99, 6,161.41 and 1,334.70 is: 2,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.99 : 6,161.41 = 1,334.70 : x
  2. Step 2: Convert to fraction form
    4,107.99/6,161.41 = 1,334.70/x
  3. Step 3: Cross multiply
    4,107.99x = 6,161.41 × 1,334.70
  4. Step 4: Simplify right side
    4,107.99x = 8,223,630.59
  5. Step 5: Solve for x
    x = 8,223,630.59/4,107.99
  6. Step 6: Final answer
    x = 2,001.86

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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.