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Finding the Fourth Proportional to 5,965.79, 8,229.06 and 3,844.13

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Solution

The fourth proportional to 5,965.79, 8,229.06 and 3,844.13 is: 5,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.79 : 8,229.06 = 3,844.13 : x
  2. Step 2: Convert to fraction form
    5,965.79/8,229.06 = 3,844.13/x
  3. Step 3: Cross multiply
    5,965.79x = 8,229.06 × 3,844.13
  4. Step 4: Simplify right side
    5,965.79x = 31,633,535.27
  5. Step 5: Solve for x
    x = 31,633,535.27/5,965.79
  6. Step 6: Final answer
    x = 5,302.49

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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.