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Finding the Fourth Proportional to 3,943.86, 5,917.16 and 1,754.16

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Solution

The fourth proportional to 3,943.86, 5,917.16 and 1,754.16 is: 2,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.86 : 5,917.16 = 1,754.16 : x
  2. Step 2: Convert to fraction form
    3,943.86/5,917.16 = 1,754.16/x
  3. Step 3: Cross multiply
    3,943.86x = 5,917.16 × 1,754.16
  4. Step 4: Simplify right side
    3,943.86x = 10,379,645.39
  5. Step 5: Solve for x
    x = 10,379,645.39/3,943.86
  6. Step 6: Final answer
    x = 2,631.85

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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.