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Finding the Fourth Proportional to 3,856.36, 5,744.66 and 3,740.16

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Solution

The fourth proportional to 3,856.36, 5,744.66 and 3,740.16 is: 5,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.36 : 5,744.66 = 3,740.16 : x
  2. Step 2: Convert to fraction form
    3,856.36/5,744.66 = 3,740.16/x
  3. Step 3: Cross multiply
    3,856.36x = 5,744.66 × 3,740.16
  4. Step 4: Simplify right side
    3,856.36x = 21,485,947.55
  5. Step 5: Solve for x
    x = 21,485,947.55/3,856.36
  6. Step 6: Final answer
    x = 5,571.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.