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Finding the Fourth Proportional to 5,092.16, 7,027.32 and 2,854

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Solution

The fourth proportional to 5,092.16, 7,027.32 and 2,854 is: 3,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.16 : 7,027.32 = 2,854 : x
  2. Step 2: Convert to fraction form
    5,092.16/7,027.32 = 2,854/x
  3. Step 3: Cross multiply
    5,092.16x = 7,027.32 × 2,854
  4. Step 4: Simplify right side
    5,092.16x = 20,055,971.28
  5. Step 5: Solve for x
    x = 20,055,971.28/5,092.16
  6. Step 6: Final answer
    x = 3,938.60

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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.