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Finding the Fourth Proportional to 5,867.29, 8,096.52 and 3,214.24

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Solution

The fourth proportional to 5,867.29, 8,096.52 and 3,214.24 is: 4,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.29 : 8,096.52 = 3,214.24 : x
  2. Step 2: Convert to fraction form
    5,867.29/8,096.52 = 3,214.24/x
  3. Step 3: Cross multiply
    5,867.29x = 8,096.52 × 3,214.24
  4. Step 4: Simplify right side
    5,867.29x = 26,024,158.44
  5. Step 5: Solve for x
    x = 26,024,158.44/5,867.29
  6. Step 6: Final answer
    x = 4,435.46

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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.