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Finding the Fourth Proportional to 4,967.90, 6,856.04 and 3,286.39

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Solution

The fourth proportional to 4,967.90, 6,856.04 and 3,286.39 is: 4,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.90 : 6,856.04 = 3,286.39 : x
  2. Step 2: Convert to fraction form
    4,967.90/6,856.04 = 3,286.39/x
  3. Step 3: Cross multiply
    4,967.90x = 6,856.04 × 3,286.39
  4. Step 4: Simplify right side
    4,967.90x = 22,531,625.23
  5. Step 5: Solve for x
    x = 22,531,625.23/4,967.90
  6. Step 6: Final answer
    x = 4,535.44

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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.