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Finding the Fourth Proportional to 5,891.57, 8,130.16 and 3,238.96

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Solution

The fourth proportional to 5,891.57, 8,130.16 and 3,238.96 is: 4,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.57 : 8,130.16 = 3,238.96 : x
  2. Step 2: Convert to fraction form
    5,891.57/8,130.16 = 3,238.96/x
  3. Step 3: Cross multiply
    5,891.57x = 8,130.16 × 3,238.96
  4. Step 4: Simplify right side
    5,891.57x = 26,333,234.61
  5. Step 5: Solve for x
    x = 26,333,234.61/5,891.57
  6. Step 6: Final answer
    x = 4,469.65

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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.