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Finding the Fourth Proportional to 3,940.74, 5,437.62 and 2,346.90

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Solution

The fourth proportional to 3,940.74, 5,437.62 and 2,346.90 is: 3,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.74 : 5,437.62 = 2,346.90 : x
  2. Step 2: Convert to fraction form
    3,940.74/5,437.62 = 2,346.90/x
  3. Step 3: Cross multiply
    3,940.74x = 5,437.62 × 2,346.90
  4. Step 4: Simplify right side
    3,940.74x = 12,761,550.38
  5. Step 5: Solve for x
    x = 12,761,550.38/3,940.74
  6. Step 6: Final answer
    x = 3,238.36

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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.