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Finding the Fourth Proportional to 5,872.50, 8,809.97 and 1,976.81

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Solution

The fourth proportional to 5,872.50, 8,809.97 and 1,976.81 is: 2,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.50 : 8,809.97 = 1,976.81 : x
  2. Step 2: Convert to fraction form
    5,872.50/8,809.97 = 1,976.81/x
  3. Step 3: Cross multiply
    5,872.50x = 8,809.97 × 1,976.81
  4. Step 4: Simplify right side
    5,872.50x = 17,415,582.86
  5. Step 5: Solve for x
    x = 17,415,582.86/5,872.50
  6. Step 6: Final answer
    x = 2,965.62

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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.