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Finding the Fourth Proportional to 3,471.92, 4,788.13 and 2,294.18

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Solution

The fourth proportional to 3,471.92, 4,788.13 and 2,294.18 is: 3,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.92 : 4,788.13 = 2,294.18 : x
  2. Step 2: Convert to fraction form
    3,471.92/4,788.13 = 2,294.18/x
  3. Step 3: Cross multiply
    3,471.92x = 4,788.13 × 2,294.18
  4. Step 4: Simplify right side
    3,471.92x = 10,984,832.08
  5. Step 5: Solve for x
    x = 10,984,832.08/3,471.92
  6. Step 6: Final answer
    x = 3,163.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.