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Finding the Fourth Proportional to 3,906.24, 5,856.18 and 1,713.30

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Solution

The fourth proportional to 3,906.24, 5,856.18 and 1,713.30 is: 2,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.24 : 5,856.18 = 1,713.30 : x
  2. Step 2: Convert to fraction form
    3,906.24/5,856.18 = 1,713.30/x
  3. Step 3: Cross multiply
    3,906.24x = 5,856.18 × 1,713.30
  4. Step 4: Simplify right side
    3,906.24x = 10,033,393.19
  5. Step 5: Solve for x
    x = 10,033,393.19/3,906.24
  6. Step 6: Final answer
    x = 2,568.56

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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.