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Finding the Fourth Proportional to 3,286.95, 4,923.42 and 2,659.56

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Solution

The fourth proportional to 3,286.95, 4,923.42 and 2,659.56 is: 3,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.95 : 4,923.42 = 2,659.56 : x
  2. Step 2: Convert to fraction form
    3,286.95/4,923.42 = 2,659.56/x
  3. Step 3: Cross multiply
    3,286.95x = 4,923.42 × 2,659.56
  4. Step 4: Simplify right side
    3,286.95x = 13,094,130.90
  5. Step 5: Solve for x
    x = 13,094,130.90/3,286.95
  6. Step 6: Final answer
    x = 3,983.67

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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.