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Finding the Fourth Proportional to 5,471.88, 8,206.20 and 2,873.40

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Solution

The fourth proportional to 5,471.88, 8,206.20 and 2,873.40 is: 4,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.88 : 8,206.20 = 2,873.40 : x
  2. Step 2: Convert to fraction form
    5,471.88/8,206.20 = 2,873.40/x
  3. Step 3: Cross multiply
    5,471.88x = 8,206.20 × 2,873.40
  4. Step 4: Simplify right side
    5,471.88x = 23,579,695.08
  5. Step 5: Solve for x
    x = 23,579,695.08/5,471.88
  6. Step 6: Final answer
    x = 4,309.25

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1.5x scale

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.