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Finding the Fourth Proportional to 5,867.39, 8,096.69 and 3,214.74

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Solution

The fourth proportional to 5,867.39, 8,096.69 and 3,214.74 is: 4,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.39 : 8,096.69 = 3,214.74 : x
  2. Step 2: Convert to fraction form
    5,867.39/8,096.69 = 3,214.74/x
  3. Step 3: Cross multiply
    5,867.39x = 8,096.69 × 3,214.74
  4. Step 4: Simplify right side
    5,867.39x = 26,028,791.61
  5. Step 5: Solve for x
    x = 26,028,791.61/5,867.39
  6. Step 6: Final answer
    x = 4,436.18

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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.