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Finding the Fourth Proportional to 4,118.52, 6,200.13 and 3,761.40

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Solution

The fourth proportional to 4,118.52, 6,200.13 and 3,761.40 is: 5,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.52 : 6,200.13 = 3,761.40 : x
  2. Step 2: Convert to fraction form
    4,118.52/6,200.13 = 3,761.40/x
  3. Step 3: Cross multiply
    4,118.52x = 6,200.13 × 3,761.40
  4. Step 4: Simplify right side
    4,118.52x = 23,321,168.98
  5. Step 5: Solve for x
    x = 23,321,168.98/4,118.52
  6. Step 6: Final answer
    x = 5,662.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.