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Finding the Fourth Proportional to 3,774.29, 5,209.11 and 3,608.19

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Solution

The fourth proportional to 3,774.29, 5,209.11 and 3,608.19 is: 4,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.29 : 5,209.11 = 3,608.19 : x
  2. Step 2: Convert to fraction form
    3,774.29/5,209.11 = 3,608.19/x
  3. Step 3: Cross multiply
    3,774.29x = 5,209.11 × 3,608.19
  4. Step 4: Simplify right side
    3,774.29x = 18,795,458.61
  5. Step 5: Solve for x
    x = 18,795,458.61/3,774.29
  6. Step 6: Final answer
    x = 4,979.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.