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Finding the Fourth Proportional to 5,965.20, 8,228.10 and 4,704.28

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Solution

The fourth proportional to 5,965.20, 8,228.10 and 4,704.28 is: 6,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.20 : 8,228.10 = 4,704.28 : x
  2. Step 2: Convert to fraction form
    5,965.20/8,228.10 = 4,704.28/x
  3. Step 3: Cross multiply
    5,965.20x = 8,228.10 × 4,704.28
  4. Step 4: Simplify right side
    5,965.20x = 38,707,286.27
  5. Step 5: Solve for x
    x = 38,707,286.27/5,965.20
  6. Step 6: Final answer
    x = 6,488.85

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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.