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Finding the Fourth Proportional to 3,817.01, 5,267.73 and 2,138.39

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Solution

The fourth proportional to 3,817.01, 5,267.73 and 2,138.39 is: 2,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.01 : 5,267.73 = 2,138.39 : x
  2. Step 2: Convert to fraction form
    3,817.01/5,267.73 = 2,138.39/x
  3. Step 3: Cross multiply
    3,817.01x = 5,267.73 × 2,138.39
  4. Step 4: Simplify right side
    3,817.01x = 11,264,434.82
  5. Step 5: Solve for x
    x = 11,264,434.82/3,817.01
  6. Step 6: Final answer
    x = 2,951.12

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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.