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Finding the Fourth Proportional to 5,969.76, 8,238.20 and 3,317.11

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Solution

The fourth proportional to 5,969.76, 8,238.20 and 3,317.11 is: 4,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.76 : 8,238.20 = 3,317.11 : x
  2. Step 2: Convert to fraction form
    5,969.76/8,238.20 = 3,317.11/x
  3. Step 3: Cross multiply
    5,969.76x = 8,238.20 × 3,317.11
  4. Step 4: Simplify right side
    5,969.76x = 27,327,015.60
  5. Step 5: Solve for x
    x = 27,327,015.60/5,969.76
  6. Step 6: Final answer
    x = 4,577.57

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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.