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Finding the Fourth Proportional to 3,856.02, 5,796.84 and 3,167.79

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Solution

The fourth proportional to 3,856.02, 5,796.84 and 3,167.79 is: 4,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.02 : 5,796.84 = 3,167.79 : x
  2. Step 2: Convert to fraction form
    3,856.02/5,796.84 = 3,167.79/x
  3. Step 3: Cross multiply
    3,856.02x = 5,796.84 × 3,167.79
  4. Step 4: Simplify right side
    3,856.02x = 18,363,171.78
  5. Step 5: Solve for x
    x = 18,363,171.78/3,856.02
  6. Step 6: Final answer
    x = 4,762.21

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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.