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Finding the Fourth Proportional to 5,969.95, 8,238.54 and 3,317.29

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Solution

The fourth proportional to 5,969.95, 8,238.54 and 3,317.29 is: 4,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.95 : 8,238.54 = 3,317.29 : x
  2. Step 2: Convert to fraction form
    5,969.95/8,238.54 = 3,317.29/x
  3. Step 3: Cross multiply
    5,969.95x = 8,238.54 × 3,317.29
  4. Step 4: Simplify right side
    5,969.95x = 27,329,626.36
  5. Step 5: Solve for x
    x = 27,329,626.36/5,969.95
  6. Step 6: Final answer
    x = 4,577.87

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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.