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Finding the Fourth Proportional to 6,049.78, 8,348.67 and 3,533.62

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Solution

The fourth proportional to 6,049.78, 8,348.67 and 3,533.62 is: 4,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.78 : 8,348.67 = 3,533.62 : x
  2. Step 2: Convert to fraction form
    6,049.78/8,348.67 = 3,533.62/x
  3. Step 3: Cross multiply
    6,049.78x = 8,348.67 × 3,533.62
  4. Step 4: Simplify right side
    6,049.78x = 29,501,027.29
  5. Step 5: Solve for x
    x = 29,501,027.29/6,049.78
  6. Step 6: Final answer
    x = 4,876.38

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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.