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Finding the Fourth Proportional to 3,463, 5,194.47 and 865.95

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Solution

The fourth proportional to 3,463, 5,194.47 and 865.95 is: 1,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463 : 5,194.47 = 865.95 : x
  2. Step 2: Convert to fraction form
    3,463/5,194.47 = 865.95/x
  3. Step 3: Cross multiply
    3,463x = 5,194.47 × 865.95
  4. Step 4: Simplify right side
    3,463x = 4,498,151.30
  5. Step 5: Solve for x
    x = 4,498,151.30/3,463
  6. Step 6: Final answer
    x = 1,298.92

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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.