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Finding the Fourth Proportional to 3,329.37, 4,994.02 and 863.97

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Solution

The fourth proportional to 3,329.37, 4,994.02 and 863.97 is: 1,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.37 : 4,994.02 = 863.97 : x
  2. Step 2: Convert to fraction form
    3,329.37/4,994.02 = 863.97/x
  3. Step 3: Cross multiply
    3,329.37x = 4,994.02 × 863.97
  4. Step 4: Simplify right side
    3,329.37x = 4,314,665.81
  5. Step 5: Solve for x
    x = 4,314,665.81/3,329.37
  6. Step 6: Final answer
    x = 1,295.94

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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.