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Finding the Fourth Proportional to 3,739.32, 5,159.88 and 2,246.82

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Solution

The fourth proportional to 3,739.32, 5,159.88 and 2,246.82 is: 3,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.32 : 5,159.88 = 2,246.82 : x
  2. Step 2: Convert to fraction form
    3,739.32/5,159.88 = 2,246.82/x
  3. Step 3: Cross multiply
    3,739.32x = 5,159.88 × 2,246.82
  4. Step 4: Simplify right side
    3,739.32x = 11,593,321.58
  5. Step 5: Solve for x
    x = 11,593,321.58/3,739.32
  6. Step 6: Final answer
    x = 3,100.38

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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.