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Finding the Fourth Proportional to 3,997.38, 5,517.09 and 2,506.58

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Solution

The fourth proportional to 3,997.38, 5,517.09 and 2,506.58 is: 3,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.38 : 5,517.09 = 2,506.58 : x
  2. Step 2: Convert to fraction form
    3,997.38/5,517.09 = 2,506.58/x
  3. Step 3: Cross multiply
    3,997.38x = 5,517.09 × 2,506.58
  4. Step 4: Simplify right side
    3,997.38x = 13,828,999.87
  5. Step 5: Solve for x
    x = 13,828,999.87/3,997.38
  6. Step 6: Final answer
    x = 3,459.52

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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.