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Finding the Fourth Proportional to 5,471.32, 8,206.92 and 2,548

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Solution

The fourth proportional to 5,471.32, 8,206.92 and 2,548 is: 3,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.32 : 8,206.92 = 2,548 : x
  2. Step 2: Convert to fraction form
    5,471.32/8,206.92 = 2,548/x
  3. Step 3: Cross multiply
    5,471.32x = 8,206.92 × 2,548
  4. Step 4: Simplify right side
    5,471.32x = 20,911,232.16
  5. Step 5: Solve for x
    x = 20,911,232.16/5,471.32
  6. Step 6: Final answer
    x = 3,821.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.