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Finding the Fourth Proportional to 5,166.87, 7,748.31 and 2,203.44

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Solution

The fourth proportional to 5,166.87, 7,748.31 and 2,203.44 is: 3,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.87 : 7,748.31 = 2,203.44 : x
  2. Step 2: Convert to fraction form
    5,166.87/7,748.31 = 2,203.44/x
  3. Step 3: Cross multiply
    5,166.87x = 7,748.31 × 2,203.44
  4. Step 4: Simplify right side
    5,166.87x = 17,072,936.19
  5. Step 5: Solve for x
    x = 17,072,936.19/5,166.87
  6. Step 6: Final answer
    x = 3,304.31

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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.