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Finding the Fourth Proportional to 5,867.37, 8,096.97 and 3,214.79

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Solution

The fourth proportional to 5,867.37, 8,096.97 and 3,214.79 is: 4,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.37 : 8,096.97 = 3,214.79 : x
  2. Step 2: Convert to fraction form
    5,867.37/8,096.97 = 3,214.79/x
  3. Step 3: Cross multiply
    5,867.37x = 8,096.97 × 3,214.79
  4. Step 4: Simplify right side
    5,867.37x = 26,030,017.70
  5. Step 5: Solve for x
    x = 26,030,017.70/5,867.37
  6. Step 6: Final answer
    x = 4,436.40

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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.