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Finding the Fourth Proportional to 5,891.18, 8,129.82 and 3,238.76

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Solution

The fourth proportional to 5,891.18, 8,129.82 and 3,238.76 is: 4,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.18 : 8,129.82 = 3,238.76 : x
  2. Step 2: Convert to fraction form
    5,891.18/8,129.82 = 3,238.76/x
  3. Step 3: Cross multiply
    5,891.18x = 8,129.82 × 3,238.76
  4. Step 4: Simplify right side
    5,891.18x = 26,330,495.17
  5. Step 5: Solve for x
    x = 26,330,495.17/5,891.18
  6. Step 6: Final answer
    x = 4,469.48

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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.