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Finding the Fourth Proportional to 5,695.72, 7,859.91 and 3,108.56

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Solution

The fourth proportional to 5,695.72, 7,859.91 and 3,108.56 is: 4,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.72 : 7,859.91 = 3,108.56 : x
  2. Step 2: Convert to fraction form
    5,695.72/7,859.91 = 3,108.56/x
  3. Step 3: Cross multiply
    5,695.72x = 7,859.91 × 3,108.56
  4. Step 4: Simplify right side
    5,695.72x = 24,432,993.08
  5. Step 5: Solve for x
    x = 24,432,993.08/5,695.72
  6. Step 6: Final answer
    x = 4,289.71

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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.