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Finding the Fourth Proportional to 5,471.70, 8,207.55 and 5,107.20

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Solution

The fourth proportional to 5,471.70, 8,207.55 and 5,107.20 is: 7,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.70 : 8,207.55 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    5,471.70/8,207.55 = 5,107.20/x
  3. Step 3: Cross multiply
    5,471.70x = 8,207.55 × 5,107.20
  4. Step 4: Simplify right side
    5,471.70x = 41,917,599.36
  5. Step 5: Solve for x
    x = 41,917,599.36/5,471.70
  6. Step 6: Final answer
    x = 7,660.80

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Similar ratio
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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.