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Finding the Fourth Proportional to 5,116.97, 7,678.20 and 2,195.50

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Solution

The fourth proportional to 5,116.97, 7,678.20 and 2,195.50 is: 3,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.97 : 7,678.20 = 2,195.50 : x
  2. Step 2: Convert to fraction form
    5,116.97/7,678.20 = 2,195.50/x
  3. Step 3: Cross multiply
    5,116.97x = 7,678.20 × 2,195.50
  4. Step 4: Simplify right side
    5,116.97x = 16,857,488.10
  5. Step 5: Solve for x
    x = 16,857,488.10/5,116.97
  6. Step 6: Final answer
    x = 3,294.43

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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.