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Finding the Fourth Proportional to 6,494.11, 8,961.51 and 3,661.95

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Solution

The fourth proportional to 6,494.11, 8,961.51 and 3,661.95 is: 5,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.11 : 8,961.51 = 3,661.95 : x
  2. Step 2: Convert to fraction form
    6,494.11/8,961.51 = 3,661.95/x
  3. Step 3: Cross multiply
    6,494.11x = 8,961.51 × 3,661.95
  4. Step 4: Simplify right side
    6,494.11x = 32,816,601.54
  5. Step 5: Solve for x
    x = 32,816,601.54/6,494.11
  6. Step 6: Final answer
    x = 5,053.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.