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Finding the Fourth Proportional to 3,362.25, 5,043.36 and 863.43

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Solution

The fourth proportional to 3,362.25, 5,043.36 and 863.43 is: 1,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.25 : 5,043.36 = 863.43 : x
  2. Step 2: Convert to fraction form
    3,362.25/5,043.36 = 863.43/x
  3. Step 3: Cross multiply
    3,362.25x = 5,043.36 × 863.43
  4. Step 4: Simplify right side
    3,362.25x = 4,354,588.32
  5. Step 5: Solve for x
    x = 4,354,588.32/3,362.25
  6. Step 6: Final answer
    x = 1,295.14

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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.