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Finding the Fourth Proportional to 3,464, 5,195.97 and 866.95

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Solution

The fourth proportional to 3,464, 5,195.97 and 866.95 is: 1,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464 : 5,195.97 = 866.95 : x
  2. Step 2: Convert to fraction form
    3,464/5,195.97 = 866.95/x
  3. Step 3: Cross multiply
    3,464x = 5,195.97 × 866.95
  4. Step 4: Simplify right side
    3,464x = 4,504,646.19
  5. Step 5: Solve for x
    x = 4,504,646.19/3,464
  6. Step 6: Final answer
    x = 1,300.42

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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.