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Finding the Fourth Proportional to 4,292.70, 6,433.22 and 2,627.43

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Solution

The fourth proportional to 4,292.70, 6,433.22 and 2,627.43 is: 3,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.70 : 6,433.22 = 2,627.43 : x
  2. Step 2: Convert to fraction form
    4,292.70/6,433.22 = 2,627.43/x
  3. Step 3: Cross multiply
    4,292.70x = 6,433.22 × 2,627.43
  4. Step 4: Simplify right side
    4,292.70x = 16,902,822.09
  5. Step 5: Solve for x
    x = 16,902,822.09/4,292.70
  6. Step 6: Final answer
    x = 3,937.57

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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.