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Finding the Fourth Proportional to 5,764.61, 8,648.07 and 2,067.13

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Solution

The fourth proportional to 5,764.61, 8,648.07 and 2,067.13 is: 3,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.61 : 8,648.07 = 2,067.13 : x
  2. Step 2: Convert to fraction form
    5,764.61/8,648.07 = 2,067.13/x
  3. Step 3: Cross multiply
    5,764.61x = 8,648.07 × 2,067.13
  4. Step 4: Simplify right side
    5,764.61x = 17,876,631.36
  5. Step 5: Solve for x
    x = 17,876,631.36/5,764.61
  6. Step 6: Final answer
    x = 3,101.10

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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.