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Finding the Fourth Proportional to 5,367.78, 8,040.65 and 2,586.24

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Solution

The fourth proportional to 5,367.78, 8,040.65 and 2,586.24 is: 3,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.78 : 8,040.65 = 2,586.24 : x
  2. Step 2: Convert to fraction form
    5,367.78/8,040.65 = 2,586.24/x
  3. Step 3: Cross multiply
    5,367.78x = 8,040.65 × 2,586.24
  4. Step 4: Simplify right side
    5,367.78x = 20,795,037.72
  5. Step 5: Solve for x
    x = 20,795,037.72/5,367.78
  6. Step 6: Final answer
    x = 3,874.05

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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.