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Finding the Fourth Proportional to 4,687.50, 6,468.06 and 3,982.17

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Solution

The fourth proportional to 4,687.50, 6,468.06 and 3,982.17 is: 5,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.50 : 6,468.06 = 3,982.17 : x
  2. Step 2: Convert to fraction form
    4,687.50/6,468.06 = 3,982.17/x
  3. Step 3: Cross multiply
    4,687.50x = 6,468.06 × 3,982.17
  4. Step 4: Simplify right side
    4,687.50x = 25,756,914.49
  5. Step 5: Solve for x
    x = 25,756,914.49/4,687.50
  6. Step 6: Final answer
    x = 5,494.81

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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.