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Finding the Fourth Proportional to 3,880.36, 5,343.24 and 3,475.78

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Solution

The fourth proportional to 3,880.36, 5,343.24 and 3,475.78 is: 4,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.36 : 5,343.24 = 3,475.78 : x
  2. Step 2: Convert to fraction form
    3,880.36/5,343.24 = 3,475.78/x
  3. Step 3: Cross multiply
    3,880.36x = 5,343.24 × 3,475.78
  4. Step 4: Simplify right side
    3,880.36x = 18,571,926.73
  5. Step 5: Solve for x
    x = 18,571,926.73/3,880.36
  6. Step 6: Final answer
    x = 4,786.13

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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.