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Finding the Fourth Proportional to 4,471.85, 6,171.18 and 2,794.23

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Solution

The fourth proportional to 4,471.85, 6,171.18 and 2,794.23 is: 3,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.85 : 6,171.18 = 2,794.23 : x
  2. Step 2: Convert to fraction form
    4,471.85/6,171.18 = 2,794.23/x
  3. Step 3: Cross multiply
    4,471.85x = 6,171.18 × 2,794.23
  4. Step 4: Simplify right side
    4,471.85x = 17,243,719.43
  5. Step 5: Solve for x
    x = 17,243,719.43/4,471.85
  6. Step 6: Final answer
    x = 3,856.06

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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.