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Finding the Fourth Proportional to 4,509.38, 6,224.78 and 3,877.37

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Solution

The fourth proportional to 4,509.38, 6,224.78 and 3,877.37 is: 5,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.38 : 6,224.78 = 3,877.37 : x
  2. Step 2: Convert to fraction form
    4,509.38/6,224.78 = 3,877.37/x
  3. Step 3: Cross multiply
    4,509.38x = 6,224.78 × 3,877.37
  4. Step 4: Simplify right side
    4,509.38x = 24,135,724.72
  5. Step 5: Solve for x
    x = 24,135,724.72/4,509.38
  6. Step 6: Final answer
    x = 5,352.34

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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.