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Finding the Fourth Proportional to 3,473.61, 4,793.59 and 2,057.22

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Solution

The fourth proportional to 3,473.61, 4,793.59 and 2,057.22 is: 2,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.61 : 4,793.59 = 2,057.22 : x
  2. Step 2: Convert to fraction form
    3,473.61/4,793.59 = 2,057.22/x
  3. Step 3: Cross multiply
    3,473.61x = 4,793.59 × 2,057.22
  4. Step 4: Simplify right side
    3,473.61x = 9,861,469.22
  5. Step 5: Solve for x
    x = 9,861,469.22/3,473.61
  6. Step 6: Final answer
    x = 2,838.97

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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.