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Finding the Fourth Proportional to 3,665.08, 5,496.18 and 1,909.54

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Solution

The fourth proportional to 3,665.08, 5,496.18 and 1,909.54 is: 2,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.08 : 5,496.18 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    3,665.08/5,496.18 = 1,909.54/x
  3. Step 3: Cross multiply
    3,665.08x = 5,496.18 × 1,909.54
  4. Step 4: Simplify right side
    3,665.08x = 10,495,175.56
  5. Step 5: Solve for x
    x = 10,495,175.56/3,665.08
  6. Step 6: Final answer
    x = 2,863.56

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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.