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Finding the Fourth Proportional to 5,092.34, 7,027.04 and 3,102.57

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Solution

The fourth proportional to 5,092.34, 7,027.04 and 3,102.57 is: 4,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.34 : 7,027.04 = 3,102.57 : x
  2. Step 2: Convert to fraction form
    5,092.34/7,027.04 = 3,102.57/x
  3. Step 3: Cross multiply
    5,092.34x = 7,027.04 × 3,102.57
  4. Step 4: Simplify right side
    5,092.34x = 21,801,891.25
  5. Step 5: Solve for x
    x = 21,801,891.25/5,092.34
  6. Step 6: Final answer
    x = 4,281.32

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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.