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Finding the Fourth Proportional to 3,524.59, 5,286.48 and 1,443.16

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Solution

The fourth proportional to 3,524.59, 5,286.48 and 1,443.16 is: 2,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.59 : 5,286.48 = 1,443.16 : x
  2. Step 2: Convert to fraction form
    3,524.59/5,286.48 = 1,443.16/x
  3. Step 3: Cross multiply
    3,524.59x = 5,286.48 × 1,443.16
  4. Step 4: Simplify right side
    3,524.59x = 7,629,236.48
  5. Step 5: Solve for x
    x = 7,629,236.48/3,524.59
  6. Step 6: Final answer
    x = 2,164.57

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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.