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Finding the Fourth Proportional to 5,872.52, 8,105.65 and 3,633.12

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Solution

The fourth proportional to 5,872.52, 8,105.65 and 3,633.12 is: 5,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.52 : 8,105.65 = 3,633.12 : x
  2. Step 2: Convert to fraction form
    5,872.52/8,105.65 = 3,633.12/x
  3. Step 3: Cross multiply
    5,872.52x = 8,105.65 × 3,633.12
  4. Step 4: Simplify right side
    5,872.52x = 29,448,790.05
  5. Step 5: Solve for x
    x = 29,448,790.05/5,872.52
  6. Step 6: Final answer
    x = 5,014.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.