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Finding the Fourth Proportional to 5,481.96, 7,564.84 and 3,092

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Solution

The fourth proportional to 5,481.96, 7,564.84 and 3,092 is: 4,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.96 : 7,564.84 = 3,092 : x
  2. Step 2: Convert to fraction form
    5,481.96/7,564.84 = 3,092/x
  3. Step 3: Cross multiply
    5,481.96x = 7,564.84 × 3,092
  4. Step 4: Simplify right side
    5,481.96x = 23,390,485.28
  5. Step 5: Solve for x
    x = 23,390,485.28/5,481.96
  6. Step 6: Final answer
    x = 4,266.81

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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.