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Finding the Fourth Proportional to 3,805.77, 5,252.46 and 2,234.01

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Solution

The fourth proportional to 3,805.77, 5,252.46 and 2,234.01 is: 3,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.77 : 5,252.46 = 2,234.01 : x
  2. Step 2: Convert to fraction form
    3,805.77/5,252.46 = 2,234.01/x
  3. Step 3: Cross multiply
    3,805.77x = 5,252.46 × 2,234.01
  4. Step 4: Simplify right side
    3,805.77x = 11,734,036.99
  5. Step 5: Solve for x
    x = 11,734,036.99/3,805.77
  6. Step 6: Final answer
    x = 3,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.