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Finding the Fourth Proportional to 5,233.71, 7,850.53 and 1,338.11

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Solution

The fourth proportional to 5,233.71, 7,850.53 and 1,338.11 is: 2,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.71 : 7,850.53 = 1,338.11 : x
  2. Step 2: Convert to fraction form
    5,233.71/7,850.53 = 1,338.11/x
  3. Step 3: Cross multiply
    5,233.71x = 7,850.53 × 1,338.11
  4. Step 4: Simplify right side
    5,233.71x = 10,504,872.70
  5. Step 5: Solve for x
    x = 10,504,872.70/5,233.71
  6. Step 6: Final answer
    x = 2,007.16

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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.