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Finding the Fourth Proportional to 5,227.57, 7,837.33 and 1,715.46

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Solution

The fourth proportional to 5,227.57, 7,837.33 and 1,715.46 is: 2,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.57 : 7,837.33 = 1,715.46 : x
  2. Step 2: Convert to fraction form
    5,227.57/7,837.33 = 1,715.46/x
  3. Step 3: Cross multiply
    5,227.57x = 7,837.33 × 1,715.46
  4. Step 4: Simplify right side
    5,227.57x = 13,444,626.12
  5. Step 5: Solve for x
    x = 13,444,626.12/5,227.57
  6. Step 6: Final answer
    x = 2,571.87

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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.