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Finding the Fourth Proportional to 3,832.38, 5,290.65 and 2,260.98

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Solution

The fourth proportional to 3,832.38, 5,290.65 and 2,260.98 is: 3,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.38 : 5,290.65 = 2,260.98 : x
  2. Step 2: Convert to fraction form
    3,832.38/5,290.65 = 2,260.98/x
  3. Step 3: Cross multiply
    3,832.38x = 5,290.65 × 2,260.98
  4. Step 4: Simplify right side
    3,832.38x = 11,962,053.84
  5. Step 5: Solve for x
    x = 11,962,053.84/3,832.38
  6. Step 6: Final answer
    x = 3,121.31

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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.