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Finding the Fourth Proportional to 3,923.77, 5,409.89 and 2,874.01

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Solution

The fourth proportional to 3,923.77, 5,409.89 and 2,874.01 is: 3,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.77 : 5,409.89 = 2,874.01 : x
  2. Step 2: Convert to fraction form
    3,923.77/5,409.89 = 2,874.01/x
  3. Step 3: Cross multiply
    3,923.77x = 5,409.89 × 2,874.01
  4. Step 4: Simplify right side
    3,923.77x = 15,548,063.59
  5. Step 5: Solve for x
    x = 15,548,063.59/3,923.77
  6. Step 6: Final answer
    x = 3,962.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.