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Finding the Fourth Proportional to 5,680.62, 7,837.44 and 3,441.78

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Solution

The fourth proportional to 5,680.62, 7,837.44 and 3,441.78 is: 4,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.62 : 7,837.44 = 3,441.78 : x
  2. Step 2: Convert to fraction form
    5,680.62/7,837.44 = 3,441.78/x
  3. Step 3: Cross multiply
    5,680.62x = 7,837.44 × 3,441.78
  4. Step 4: Simplify right side
    5,680.62x = 26,974,744.24
  5. Step 5: Solve for x
    x = 26,974,744.24/5,680.62
  6. Step 6: Final answer
    x = 4,748.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.