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Finding the Fourth Proportional to 5,844.72, 8,768.52 and 2,766

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Solution

The fourth proportional to 5,844.72, 8,768.52 and 2,766 is: 4,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.72 : 8,768.52 = 2,766 : x
  2. Step 2: Convert to fraction form
    5,844.72/8,768.52 = 2,766/x
  3. Step 3: Cross multiply
    5,844.72x = 8,768.52 × 2,766
  4. Step 4: Simplify right side
    5,844.72x = 24,253,726.32
  5. Step 5: Solve for x
    x = 24,253,726.32/5,844.72
  6. Step 6: Final answer
    x = 4,149.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.