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Finding the Fourth Proportional to 5,969.89, 8,238.21 and 3,317.47

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Solution

The fourth proportional to 5,969.89, 8,238.21 and 3,317.47 is: 4,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.89 : 8,238.21 = 3,317.47 : x
  2. Step 2: Convert to fraction form
    5,969.89/8,238.21 = 3,317.47/x
  3. Step 3: Cross multiply
    5,969.89x = 8,238.21 × 3,317.47
  4. Step 4: Simplify right side
    5,969.89x = 27,329,981.49
  5. Step 5: Solve for x
    x = 27,329,981.49/5,969.89
  6. Step 6: Final answer
    x = 4,577.97

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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.