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Finding the Fourth Proportional to 5,238.38, 7,229.16 and 2,880.47

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Solution

The fourth proportional to 5,238.38, 7,229.16 and 2,880.47 is: 3,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.38 : 7,229.16 = 2,880.47 : x
  2. Step 2: Convert to fraction form
    5,238.38/7,229.16 = 2,880.47/x
  3. Step 3: Cross multiply
    5,238.38x = 7,229.16 × 2,880.47
  4. Step 4: Simplify right side
    5,238.38x = 20,823,342.36
  5. Step 5: Solve for x
    x = 20,823,342.36/5,238.38
  6. Step 6: Final answer
    x = 3,975.15

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Why These Related Problems?

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