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Finding the Fourth Proportional to 4,092.96, 5,642.31 and 3,254

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Solution

The fourth proportional to 4,092.96, 5,642.31 and 3,254 is: 4,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.96 : 5,642.31 = 3,254 : x
  2. Step 2: Convert to fraction form
    4,092.96/5,642.31 = 3,254/x
  3. Step 3: Cross multiply
    4,092.96x = 5,642.31 × 3,254
  4. Step 4: Simplify right side
    4,092.96x = 18,360,076.74
  5. Step 5: Solve for x
    x = 18,360,076.74/4,092.96
  6. Step 6: Final answer
    x = 4,485.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.