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Finding the Fourth Proportional to 3,690.38, 5,534.40 and 1,350.09

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Solution

The fourth proportional to 3,690.38, 5,534.40 and 1,350.09 is: 2,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.38 : 5,534.40 = 1,350.09 : x
  2. Step 2: Convert to fraction form
    3,690.38/5,534.40 = 1,350.09/x
  3. Step 3: Cross multiply
    3,690.38x = 5,534.40 × 1,350.09
  4. Step 4: Simplify right side
    3,690.38x = 7,471,938.10
  5. Step 5: Solve for x
    x = 7,471,938.10/3,690.38
  6. Step 6: Final answer
    x = 2,024.71

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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.