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Finding the Fourth Proportional to 6,338.52, 8,747.16 and 3,544

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Solution

The fourth proportional to 6,338.52, 8,747.16 and 3,544 is: 4,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.52 : 8,747.16 = 3,544 : x
  2. Step 2: Convert to fraction form
    6,338.52/8,747.16 = 3,544/x
  3. Step 3: Cross multiply
    6,338.52x = 8,747.16 × 3,544
  4. Step 4: Simplify right side
    6,338.52x = 30,999,935.04
  5. Step 5: Solve for x
    x = 30,999,935.04/6,338.52
  6. Step 6: Final answer
    x = 4,890.72

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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.