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Finding the Fourth Proportional to 6,084.78, 8,399.82 and 4,073.54

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Solution

The fourth proportional to 6,084.78, 8,399.82 and 4,073.54 is: 5,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.78 : 8,399.82 = 4,073.54 : x
  2. Step 2: Convert to fraction form
    6,084.78/8,399.82 = 4,073.54/x
  3. Step 3: Cross multiply
    6,084.78x = 8,399.82 × 4,073.54
  4. Step 4: Simplify right side
    6,084.78x = 34,217,002.76
  5. Step 5: Solve for x
    x = 34,217,002.76/6,084.78
  6. Step 6: Final answer
    x = 5,623.38

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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.