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Finding the Fourth Proportional to 4,126.62, 6,200.07 and 2,646.48

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Solution

The fourth proportional to 4,126.62, 6,200.07 and 2,646.48 is: 3,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.62 : 6,200.07 = 2,646.48 : x
  2. Step 2: Convert to fraction form
    4,126.62/6,200.07 = 2,646.48/x
  3. Step 3: Cross multiply
    4,126.62x = 6,200.07 × 2,646.48
  4. Step 4: Simplify right side
    4,126.62x = 16,408,361.25
  5. Step 5: Solve for x
    x = 16,408,361.25/4,126.62
  6. Step 6: Final answer
    x = 3,976.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.