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Finding the Fourth Proportional to 3,478.12, 5,217.24 and 1,169.64

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Solution

The fourth proportional to 3,478.12, 5,217.24 and 1,169.64 is: 1,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.12 : 5,217.24 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    3,478.12/5,217.24 = 1,169.64/x
  3. Step 3: Cross multiply
    3,478.12x = 5,217.24 × 1,169.64
  4. Step 4: Simplify right side
    3,478.12x = 6,102,292.59
  5. Step 5: Solve for x
    x = 6,102,292.59/3,478.12
  6. Step 6: Final answer
    x = 1,754.48

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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.