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Finding the Fourth Proportional to 3,908.68, 5,859.40 and 1,568.08

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Solution

The fourth proportional to 3,908.68, 5,859.40 and 1,568.08 is: 2,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.68 : 5,859.40 = 1,568.08 : x
  2. Step 2: Convert to fraction form
    3,908.68/5,859.40 = 1,568.08/x
  3. Step 3: Cross multiply
    3,908.68x = 5,859.40 × 1,568.08
  4. Step 4: Simplify right side
    3,908.68x = 9,188,007.95
  5. Step 5: Solve for x
    x = 9,188,007.95/3,908.68
  6. Step 6: Final answer
    x = 2,350.67

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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.