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Finding the Fourth Proportional to 5,969.57, 8,238.26 and 3,317

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Solution

The fourth proportional to 5,969.57, 8,238.26 and 3,317 is: 4,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.57 : 8,238.26 = 3,317 : x
  2. Step 2: Convert to fraction form
    5,969.57/8,238.26 = 3,317/x
  3. Step 3: Cross multiply
    5,969.57x = 8,238.26 × 3,317
  4. Step 4: Simplify right side
    5,969.57x = 27,326,291.84
  5. Step 5: Solve for x
    x = 27,326,291.84/5,969.57
  6. Step 6: Final answer
    x = 4,577.60

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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.