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Finding the Fourth Proportional to 5,872.33, 8,809.83 and 1,976.74

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Solution

The fourth proportional to 5,872.33, 8,809.83 and 1,976.74 is: 2,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.33 : 8,809.83 = 1,976.74 : x
  2. Step 2: Convert to fraction form
    5,872.33/8,809.83 = 1,976.74/x
  3. Step 3: Cross multiply
    5,872.33x = 8,809.83 × 1,976.74
  4. Step 4: Simplify right side
    5,872.33x = 17,414,721.33
  5. Step 5: Solve for x
    x = 17,414,721.33/5,872.33
  6. Step 6: Final answer
    x = 2,965.56

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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.