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Finding the Fourth Proportional to 5,965.75, 8,232.11 and 3,448.66

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Solution

The fourth proportional to 5,965.75, 8,232.11 and 3,448.66 is: 4,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.75 : 8,232.11 = 3,448.66 : x
  2. Step 2: Convert to fraction form
    5,965.75/8,232.11 = 3,448.66/x
  3. Step 3: Cross multiply
    5,965.75x = 8,232.11 × 3,448.66
  4. Step 4: Simplify right side
    5,965.75x = 28,389,758.42
  5. Step 5: Solve for x
    x = 28,389,758.42/5,965.75
  6. Step 6: Final answer
    x = 4,758.79

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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.