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Finding the Fourth Proportional to 3,694.95, 5,538.53 and 1,229.11

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Solution

The fourth proportional to 3,694.95, 5,538.53 and 1,229.11 is: 1,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.95 : 5,538.53 = 1,229.11 : x
  2. Step 2: Convert to fraction form
    3,694.95/5,538.53 = 1,229.11/x
  3. Step 3: Cross multiply
    3,694.95x = 5,538.53 × 1,229.11
  4. Step 4: Simplify right side
    3,694.95x = 6,807,462.61
  5. Step 5: Solve for x
    x = 6,807,462.61/3,694.95
  6. Step 6: Final answer
    x = 1,842.37

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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.