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Finding the Fourth Proportional to 3,538.67, 5,313.48 and 1,898.42

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Solution

The fourth proportional to 3,538.67, 5,313.48 and 1,898.42 is: 2,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.67 : 5,313.48 = 1,898.42 : x
  2. Step 2: Convert to fraction form
    3,538.67/5,313.48 = 1,898.42/x
  3. Step 3: Cross multiply
    3,538.67x = 5,313.48 × 1,898.42
  4. Step 4: Simplify right side
    3,538.67x = 10,087,190.13
  5. Step 5: Solve for x
    x = 10,087,190.13/3,538.67
  6. Step 6: Final answer
    x = 2,850.56

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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.