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Finding the Fourth Proportional to 3,463.70, 5,195.61 and 866.63

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Solution

The fourth proportional to 3,463.70, 5,195.61 and 866.63 is: 1,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.70 : 5,195.61 = 866.63 : x
  2. Step 2: Convert to fraction form
    3,463.70/5,195.61 = 866.63/x
  3. Step 3: Cross multiply
    3,463.70x = 5,195.61 × 866.63
  4. Step 4: Simplify right side
    3,463.70x = 4,502,645.52
  5. Step 5: Solve for x
    x = 4,502,645.52/3,463.70
  6. Step 6: Final answer
    x = 1,299.95

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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.