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Finding the Fourth Proportional to 3,329.31, 4,993.95 and 863.92

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Solution

The fourth proportional to 3,329.31, 4,993.95 and 863.92 is: 1,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.31 : 4,993.95 = 863.92 : x
  2. Step 2: Convert to fraction form
    3,329.31/4,993.95 = 863.92/x
  3. Step 3: Cross multiply
    3,329.31x = 4,993.95 × 863.92
  4. Step 4: Simplify right side
    3,329.31x = 4,314,373.28
  5. Step 5: Solve for x
    x = 4,314,373.28/3,329.31
  6. Step 6: Final answer
    x = 1,295.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.