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Finding the Fourth Proportional to 3,661.20, 5,494.56 and 3,147.12

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Solution

The fourth proportional to 3,661.20, 5,494.56 and 3,147.12 is: 4,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.20 : 5,494.56 = 3,147.12 : x
  2. Step 2: Convert to fraction form
    3,661.20/5,494.56 = 3,147.12/x
  3. Step 3: Cross multiply
    3,661.20x = 5,494.56 × 3,147.12
  4. Step 4: Simplify right side
    3,661.20x = 17,292,039.67
  5. Step 5: Solve for x
    x = 17,292,039.67/3,661.20
  6. Step 6: Final answer
    x = 4,723.05

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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.