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Finding the Fourth Proportional to 3,805.73, 5,705.91 and 1,463.77

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Solution

The fourth proportional to 3,805.73, 5,705.91 and 1,463.77 is: 2,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.73 : 5,705.91 = 1,463.77 : x
  2. Step 2: Convert to fraction form
    3,805.73/5,705.91 = 1,463.77/x
  3. Step 3: Cross multiply
    3,805.73x = 5,705.91 × 1,463.77
  4. Step 4: Simplify right side
    3,805.73x = 8,352,111.35
  5. Step 5: Solve for x
    x = 8,352,111.35/3,805.73
  6. Step 6: Final answer
    x = 2,194.61

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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.