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Finding the Fourth Proportional to 5,092.42, 7,027.56 and 2,854.29

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Solution

The fourth proportional to 5,092.42, 7,027.56 and 2,854.29 is: 3,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.42 : 7,027.56 = 2,854.29 : x
  2. Step 2: Convert to fraction form
    5,092.42/7,027.56 = 2,854.29/x
  3. Step 3: Cross multiply
    5,092.42x = 7,027.56 × 2,854.29
  4. Step 4: Simplify right side
    5,092.42x = 20,058,681.06
  5. Step 5: Solve for x
    x = 20,058,681.06/5,092.42
  6. Step 6: Final answer
    x = 3,938.93

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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.