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Finding the Fourth Proportional to 5,894.82, 8,839.49 and 4,046.22

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Solution

The fourth proportional to 5,894.82, 8,839.49 and 4,046.22 is: 6,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.82 : 8,839.49 = 4,046.22 : x
  2. Step 2: Convert to fraction form
    5,894.82/8,839.49 = 4,046.22/x
  3. Step 3: Cross multiply
    5,894.82x = 8,839.49 × 4,046.22
  4. Step 4: Simplify right side
    5,894.82x = 35,766,501.00
  5. Step 5: Solve for x
    x = 35,766,501.00/5,894.82
  6. Step 6: Final answer
    x = 6,067.45

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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.