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Finding the Fourth Proportional to 4,652.24, 6,965.91 and 3,914.12

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Solution

The fourth proportional to 4,652.24, 6,965.91 and 3,914.12 is: 5,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.24 : 6,965.91 = 3,914.12 : x
  2. Step 2: Convert to fraction form
    4,652.24/6,965.91 = 3,914.12/x
  3. Step 3: Cross multiply
    4,652.24x = 6,965.91 × 3,914.12
  4. Step 4: Simplify right side
    4,652.24x = 27,265,414.06
  5. Step 5: Solve for x
    x = 27,265,414.06/4,652.24
  6. Step 6: Final answer
    x = 5,860.71

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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.