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Finding the Fourth Proportional to 5,711.89, 8,570.98 and 2,790.22

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Solution

The fourth proportional to 5,711.89, 8,570.98 and 2,790.22 is: 4,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.89 : 8,570.98 = 2,790.22 : x
  2. Step 2: Convert to fraction form
    5,711.89/8,570.98 = 2,790.22/x
  3. Step 3: Cross multiply
    5,711.89x = 8,570.98 × 2,790.22
  4. Step 4: Simplify right side
    5,711.89x = 23,914,919.82
  5. Step 5: Solve for x
    x = 23,914,919.82/5,711.89
  6. Step 6: Final answer
    x = 4,186.87

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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.