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Finding the Fourth Proportional to 5,953.28, 8,214.16 and 3,964.92

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Solution

The fourth proportional to 5,953.28, 8,214.16 and 3,964.92 is: 5,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.28 : 8,214.16 = 3,964.92 : x
  2. Step 2: Convert to fraction form
    5,953.28/8,214.16 = 3,964.92/x
  3. Step 3: Cross multiply
    5,953.28x = 8,214.16 × 3,964.92
  4. Step 4: Simplify right side
    5,953.28x = 32,568,487.27
  5. Step 5: Solve for x
    x = 32,568,487.27/5,953.28
  6. Step 6: Final answer
    x = 5,470.68

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Similar ratio
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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.