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Finding the Fourth Proportional to 3,306.32, 4,965.16 and 3,167

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Solution

The fourth proportional to 3,306.32, 4,965.16 and 3,167 is: 4,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.32 : 4,965.16 = 3,167 : x
  2. Step 2: Convert to fraction form
    3,306.32/4,965.16 = 3,167/x
  3. Step 3: Cross multiply
    3,306.32x = 4,965.16 × 3,167
  4. Step 4: Simplify right side
    3,306.32x = 15,724,661.72
  5. Step 5: Solve for x
    x = 15,724,661.72/3,306.32
  6. Step 6: Final answer
    x = 4,755.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.