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Finding the Fourth Proportional to 3,995.80, 5,511.16 and 2,422.24

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Solution

The fourth proportional to 3,995.80, 5,511.16 and 2,422.24 is: 3,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.80 : 5,511.16 = 2,422.24 : x
  2. Step 2: Convert to fraction form
    3,995.80/5,511.16 = 2,422.24/x
  3. Step 3: Cross multiply
    3,995.80x = 5,511.16 × 2,422.24
  4. Step 4: Simplify right side
    3,995.80x = 13,349,352.20
  5. Step 5: Solve for x
    x = 13,349,352.20/3,995.80
  6. Step 6: Final answer
    x = 3,340.85

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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.