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Finding the Fourth Proportional to 5,969.68, 8,238.12 and 3,317.08

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Solution

The fourth proportional to 5,969.68, 8,238.12 and 3,317.08 is: 4,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.68 : 8,238.12 = 3,317.08 : x
  2. Step 2: Convert to fraction form
    5,969.68/8,238.12 = 3,317.08/x
  3. Step 3: Cross multiply
    5,969.68x = 8,238.12 × 3,317.08
  4. Step 4: Simplify right side
    5,969.68x = 27,326,503.09
  5. Step 5: Solve for x
    x = 27,326,503.09/5,969.68
  6. Step 6: Final answer
    x = 4,577.55

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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.