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Finding the Fourth Proportional to 3,940.82, 5,437.82 and 2,262.30

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Solution

The fourth proportional to 3,940.82, 5,437.82 and 2,262.30 is: 3,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.82 : 5,437.82 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    3,940.82/5,437.82 = 2,262.30/x
  3. Step 3: Cross multiply
    3,940.82x = 5,437.82 × 2,262.30
  4. Step 4: Simplify right side
    3,940.82x = 12,301,980.19
  5. Step 5: Solve for x
    x = 12,301,980.19/3,940.82
  6. Step 6: Final answer
    x = 3,121.68

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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.