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Finding the Fourth Proportional to 4,137.96, 6,198.02 and 1,943.40

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Solution

The fourth proportional to 4,137.96, 6,198.02 and 1,943.40 is: 2,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.96 : 6,198.02 = 1,943.40 : x
  2. Step 2: Convert to fraction form
    4,137.96/6,198.02 = 1,943.40/x
  3. Step 3: Cross multiply
    4,137.96x = 6,198.02 × 1,943.40
  4. Step 4: Simplify right side
    4,137.96x = 12,045,232.07
  5. Step 5: Solve for x
    x = 12,045,232.07/4,137.96
  6. Step 6: Final answer
    x = 2,910.91

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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.