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Finding the Fourth Proportional to 3,843.28, 5,764.88 and 1,246.16

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Solution

The fourth proportional to 3,843.28, 5,764.88 and 1,246.16 is: 1,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.28 : 5,764.88 = 1,246.16 : x
  2. Step 2: Convert to fraction form
    3,843.28/5,764.88 = 1,246.16/x
  3. Step 3: Cross multiply
    3,843.28x = 5,764.88 × 1,246.16
  4. Step 4: Simplify right side
    3,843.28x = 7,183,962.86
  5. Step 5: Solve for x
    x = 7,183,962.86/3,843.28
  6. Step 6: Final answer
    x = 1,869.23

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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.