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Finding the Fourth Proportional to 5,969.67, 8,238.76 and 3,317.93

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Solution

The fourth proportional to 5,969.67, 8,238.76 and 3,317.93 is: 4,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.67 : 8,238.76 = 3,317.93 : x
  2. Step 2: Convert to fraction form
    5,969.67/8,238.76 = 3,317.93/x
  3. Step 3: Cross multiply
    5,969.67x = 8,238.76 × 3,317.93
  4. Step 4: Simplify right side
    5,969.67x = 27,335,641.27
  5. Step 5: Solve for x
    x = 27,335,641.27/5,969.67
  6. Step 6: Final answer
    x = 4,579.09

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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.