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Finding the Fourth Proportional to 3,524.70, 5,286.69 and 1,059.57

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Solution

The fourth proportional to 3,524.70, 5,286.69 and 1,059.57 is: 1,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.70 : 5,286.69 = 1,059.57 : x
  2. Step 2: Convert to fraction form
    3,524.70/5,286.69 = 1,059.57/x
  3. Step 3: Cross multiply
    3,524.70x = 5,286.69 × 1,059.57
  4. Step 4: Simplify right side
    3,524.70x = 5,601,618.12
  5. Step 5: Solve for x
    x = 5,601,618.12/3,524.70
  6. Step 6: Final answer
    x = 1,589.25

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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.