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Finding the Fourth Proportional to 3,633.95, 5,016.38 and 2,456.61

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Solution

The fourth proportional to 3,633.95, 5,016.38 and 2,456.61 is: 3,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.95 : 5,016.38 = 2,456.61 : x
  2. Step 2: Convert to fraction form
    3,633.95/5,016.38 = 2,456.61/x
  3. Step 3: Cross multiply
    3,633.95x = 5,016.38 × 2,456.61
  4. Step 4: Simplify right side
    3,633.95x = 12,323,276.99
  5. Step 5: Solve for x
    x = 12,323,276.99/3,633.95
  6. Step 6: Final answer
    x = 3,391.16

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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.