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Finding the Fourth Proportional to 4,896.84, 6,753.13 and 3,217.65

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Solution

The fourth proportional to 4,896.84, 6,753.13 and 3,217.65 is: 4,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.84 : 6,753.13 = 3,217.65 : x
  2. Step 2: Convert to fraction form
    4,896.84/6,753.13 = 3,217.65/x
  3. Step 3: Cross multiply
    4,896.84x = 6,753.13 × 3,217.65
  4. Step 4: Simplify right side
    4,896.84x = 21,729,208.74
  5. Step 5: Solve for x
    x = 21,729,208.74/4,896.84
  6. Step 6: Final answer
    x = 4,437.39

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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.