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Finding the Fourth Proportional to 6,338.56, 8,747.16 and 3,505.92

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Solution

The fourth proportional to 6,338.56, 8,747.16 and 3,505.92 is: 4,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.56 : 8,747.16 = 3,505.92 : x
  2. Step 2: Convert to fraction form
    6,338.56/8,747.16 = 3,505.92/x
  3. Step 3: Cross multiply
    6,338.56x = 8,747.16 × 3,505.92
  4. Step 4: Simplify right side
    6,338.56x = 30,666,843.19
  5. Step 5: Solve for x
    x = 30,666,843.19/6,338.56
  6. Step 6: Final answer
    x = 4,838.14

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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.