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Finding the Fourth Proportional to 3,855.90, 5,786.93 and 1,392.45

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Solution

The fourth proportional to 3,855.90, 5,786.93 and 1,392.45 is: 2,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.90 : 5,786.93 = 1,392.45 : x
  2. Step 2: Convert to fraction form
    3,855.90/5,786.93 = 1,392.45/x
  3. Step 3: Cross multiply
    3,855.90x = 5,786.93 × 1,392.45
  4. Step 4: Simplify right side
    3,855.90x = 8,058,010.68
  5. Step 5: Solve for x
    x = 8,058,010.68/3,855.90
  6. Step 6: Final answer
    x = 2,089.79

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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.