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Finding the Fourth Proportional to 3,757.15, 5,639.16 and 1,909.54

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Solution

The fourth proportional to 3,757.15, 5,639.16 and 1,909.54 is: 2,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.15 : 5,639.16 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    3,757.15/5,639.16 = 1,909.54/x
  3. Step 3: Cross multiply
    3,757.15x = 5,639.16 × 1,909.54
  4. Step 4: Simplify right side
    3,757.15x = 10,768,201.59
  5. Step 5: Solve for x
    x = 10,768,201.59/3,757.15
  6. Step 6: Final answer
    x = 2,866.06

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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.