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Finding the Fourth Proportional to 5,718.96, 7,891.22 and 3,361.56

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Solution

The fourth proportional to 5,718.96, 7,891.22 and 3,361.56 is: 4,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.96 : 7,891.22 = 3,361.56 : x
  2. Step 2: Convert to fraction form
    5,718.96/7,891.22 = 3,361.56/x
  3. Step 3: Cross multiply
    5,718.96x = 7,891.22 × 3,361.56
  4. Step 4: Simplify right side
    5,718.96x = 26,526,792.70
  5. Step 5: Solve for x
    x = 26,526,792.70/5,718.96
  6. Step 6: Final answer
    x = 4,638.39

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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.