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Finding the Fourth Proportional to 3,805.88, 5,252.31 and 2,313.55

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Solution

The fourth proportional to 3,805.88, 5,252.31 and 2,313.55 is: 3,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.88 : 5,252.31 = 2,313.55 : x
  2. Step 2: Convert to fraction form
    3,805.88/5,252.31 = 2,313.55/x
  3. Step 3: Cross multiply
    3,805.88x = 5,252.31 × 2,313.55
  4. Step 4: Simplify right side
    3,805.88x = 12,151,481.80
  5. Step 5: Solve for x
    x = 12,151,481.80/3,805.88
  6. Step 6: Final answer
    x = 3,192.82

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