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Finding the Fourth Proportional to 3,286.88, 4,535.33 and 3,120.66

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Solution

The fourth proportional to 3,286.88, 4,535.33 and 3,120.66 is: 4,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.88 : 4,535.33 = 3,120.66 : x
  2. Step 2: Convert to fraction form
    3,286.88/4,535.33 = 3,120.66/x
  3. Step 3: Cross multiply
    3,286.88x = 4,535.33 × 3,120.66
  4. Step 4: Simplify right side
    3,286.88x = 14,153,207.31
  5. Step 5: Solve for x
    x = 14,153,207.31/3,286.88
  6. Step 6: Final answer
    x = 4,305.97

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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.