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Finding the Fourth Proportional to 5,680.68, 8,522.10 and 1,786.20

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Solution

The fourth proportional to 5,680.68, 8,522.10 and 1,786.20 is: 2,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.68 : 8,522.10 = 1,786.20 : x
  2. Step 2: Convert to fraction form
    5,680.68/8,522.10 = 1,786.20/x
  3. Step 3: Cross multiply
    5,680.68x = 8,522.10 × 1,786.20
  4. Step 4: Simplify right side
    5,680.68x = 15,222,175.02
  5. Step 5: Solve for x
    x = 15,222,175.02/5,680.68
  6. Step 6: Final answer
    x = 2,679.64

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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.