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Finding the Fourth Proportional to 5,715.86, 8,576.36 and 3,635.33

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Solution

The fourth proportional to 5,715.86, 8,576.36 and 3,635.33 is: 5,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.86 : 8,576.36 = 3,635.33 : x
  2. Step 2: Convert to fraction form
    5,715.86/8,576.36 = 3,635.33/x
  3. Step 3: Cross multiply
    5,715.86x = 8,576.36 × 3,635.33
  4. Step 4: Simplify right side
    5,715.86x = 31,177,837.74
  5. Step 5: Solve for x
    x = 31,177,837.74/5,715.86
  6. Step 6: Final answer
    x = 5,454.62

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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.