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Finding the Fourth Proportional to 3,471.92, 4,794.48 and 2,232.08

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Solution

The fourth proportional to 3,471.92, 4,794.48 and 2,232.08 is: 3,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.92 : 4,794.48 = 2,232.08 : x
  2. Step 2: Convert to fraction form
    3,471.92/4,794.48 = 2,232.08/x
  3. Step 3: Cross multiply
    3,471.92x = 4,794.48 × 2,232.08
  4. Step 4: Simplify right side
    3,471.92x = 10,701,662.92
  5. Step 5: Solve for x
    x = 10,701,662.92/3,471.92
  6. Step 6: Final answer
    x = 3,082.35

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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.