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Finding the Fourth Proportional to 5,976.65, 8,249.14 and 3,877.13

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Solution

The fourth proportional to 5,976.65, 8,249.14 and 3,877.13 is: 5,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.65 : 8,249.14 = 3,877.13 : x
  2. Step 2: Convert to fraction form
    5,976.65/8,249.14 = 3,877.13/x
  3. Step 3: Cross multiply
    5,976.65x = 8,249.14 × 3,877.13
  4. Step 4: Simplify right side
    5,976.65x = 31,983,013.64
  5. Step 5: Solve for x
    x = 31,983,013.64/5,976.65
  6. Step 6: Final answer
    x = 5,351.33

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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.