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Finding the Fourth Proportional to 5,759.91, 8,642.30 and 3,424.38

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Solution

The fourth proportional to 5,759.91, 8,642.30 and 3,424.38 is: 5,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.91 : 8,642.30 = 3,424.38 : x
  2. Step 2: Convert to fraction form
    5,759.91/8,642.30 = 3,424.38/x
  3. Step 3: Cross multiply
    5,759.91x = 8,642.30 × 3,424.38
  4. Step 4: Simplify right side
    5,759.91x = 29,594,469.74
  5. Step 5: Solve for x
    x = 29,594,469.74/5,759.91
  6. Step 6: Final answer
    x = 5,138.01

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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.