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Finding the Fourth Proportional to 5,709.56, 8,560.62 and 2,380.12

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Solution

The fourth proportional to 5,709.56, 8,560.62 and 2,380.12 is: 3,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.56 : 8,560.62 = 2,380.12 : x
  2. Step 2: Convert to fraction form
    5,709.56/8,560.62 = 2,380.12/x
  3. Step 3: Cross multiply
    5,709.56x = 8,560.62 × 2,380.12
  4. Step 4: Simplify right side
    5,709.56x = 20,375,281.47
  5. Step 5: Solve for x
    x = 20,375,281.47/5,709.56
  6. Step 6: Final answer
    x = 3,568.63

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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.