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Finding the Fourth Proportional to 5,859.80, 8,787 and 1,910.42

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Solution

The fourth proportional to 5,859.80, 8,787 and 1,910.42 is: 2,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.80 : 8,787 = 1,910.42 : x
  2. Step 2: Convert to fraction form
    5,859.80/8,787 = 1,910.42/x
  3. Step 3: Cross multiply
    5,859.80x = 8,787 × 1,910.42
  4. Step 4: Simplify right side
    5,859.80x = 16,786,860.54
  5. Step 5: Solve for x
    x = 16,786,860.54/5,859.80
  6. Step 6: Final answer
    x = 2,864.75

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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.