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Finding the Fourth Proportional to 3,867.96, 5,344.32 and 3,444.60

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Solution

The fourth proportional to 3,867.96, 5,344.32 and 3,444.60 is: 4,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.96 : 5,344.32 = 3,444.60 : x
  2. Step 2: Convert to fraction form
    3,867.96/5,344.32 = 3,444.60/x
  3. Step 3: Cross multiply
    3,867.96x = 5,344.32 × 3,444.60
  4. Step 4: Simplify right side
    3,867.96x = 18,409,044.67
  5. Step 5: Solve for x
    x = 18,409,044.67/3,867.96
  6. Step 6: Final answer
    x = 4,759.37

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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.