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Finding the Fourth Proportional to 3,881.74, 5,832.34 and 3,648.46

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Solution

The fourth proportional to 3,881.74, 5,832.34 and 3,648.46 is: 5,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.74 : 5,832.34 = 3,648.46 : x
  2. Step 2: Convert to fraction form
    3,881.74/5,832.34 = 3,648.46/x
  3. Step 3: Cross multiply
    3,881.74x = 5,832.34 × 3,648.46
  4. Step 4: Simplify right side
    3,881.74x = 21,279,059.20
  5. Step 5: Solve for x
    x = 21,279,059.20/3,881.74
  6. Step 6: Final answer
    x = 5,481.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.