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Finding the Fourth Proportional to 5,939.64, 8,196.92 and 3,843.76

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Solution

The fourth proportional to 5,939.64, 8,196.92 and 3,843.76 is: 5,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.64 : 8,196.92 = 3,843.76 : x
  2. Step 2: Convert to fraction form
    5,939.64/8,196.92 = 3,843.76/x
  3. Step 3: Cross multiply
    5,939.64x = 8,196.92 × 3,843.76
  4. Step 4: Simplify right side
    5,939.64x = 31,506,993.22
  5. Step 5: Solve for x
    x = 31,506,993.22/5,939.64
  6. Step 6: Final answer
    x = 5,304.53

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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.