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Finding the Fourth Proportional to 5,711.85, 8,571.60 and 2,014.11

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Solution

The fourth proportional to 5,711.85, 8,571.60 and 2,014.11 is: 3,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.85 : 8,571.60 = 2,014.11 : x
  2. Step 2: Convert to fraction form
    5,711.85/8,571.60 = 2,014.11/x
  3. Step 3: Cross multiply
    5,711.85x = 8,571.60 × 2,014.11
  4. Step 4: Simplify right side
    5,711.85x = 17,264,145.28
  5. Step 5: Solve for x
    x = 17,264,145.28/5,711.85
  6. Step 6: Final answer
    x = 3,022.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.