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Finding the Fourth Proportional to 3,463.31, 5,194.95 and 866.25

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Solution

The fourth proportional to 3,463.31, 5,194.95 and 866.25 is: 1,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.31 : 5,194.95 = 866.25 : x
  2. Step 2: Convert to fraction form
    3,463.31/5,194.95 = 866.25/x
  3. Step 3: Cross multiply
    3,463.31x = 5,194.95 × 866.25
  4. Step 4: Simplify right side
    3,463.31x = 4,500,122.19
  5. Step 5: Solve for x
    x = 4,500,122.19/3,463.31
  6. Step 6: Final answer
    x = 1,299.37

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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.