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Finding the Fourth Proportional to 3,523.68, 5,286.96 and 1,333.05

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Solution

The fourth proportional to 3,523.68, 5,286.96 and 1,333.05 is: 2,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.68 : 5,286.96 = 1,333.05 : x
  2. Step 2: Convert to fraction form
    3,523.68/5,286.96 = 1,333.05/x
  3. Step 3: Cross multiply
    3,523.68x = 5,286.96 × 1,333.05
  4. Step 4: Simplify right side
    3,523.68x = 7,047,782.03
  5. Step 5: Solve for x
    x = 7,047,782.03/3,523.68
  6. Step 6: Final answer
    x = 2,000.12

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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.