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Finding the Fourth Proportional to 6,338.44, 8,747.10 and 3,505.77

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Solution

The fourth proportional to 6,338.44, 8,747.10 and 3,505.77 is: 4,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.44 : 8,747.10 = 3,505.77 : x
  2. Step 2: Convert to fraction form
    6,338.44/8,747.10 = 3,505.77/x
  3. Step 3: Cross multiply
    6,338.44x = 8,747.10 × 3,505.77
  4. Step 4: Simplify right side
    6,338.44x = 30,665,320.77
  5. Step 5: Solve for x
    x = 30,665,320.77/6,338.44
  6. Step 6: Final answer
    x = 4,837.99

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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.