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Finding the Fourth Proportional to 3,985.96, 5,979.52 and 2,011.56

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Solution

The fourth proportional to 3,985.96, 5,979.52 and 2,011.56 is: 3,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.96 : 5,979.52 = 2,011.56 : x
  2. Step 2: Convert to fraction form
    3,985.96/5,979.52 = 2,011.56/x
  3. Step 3: Cross multiply
    3,985.96x = 5,979.52 × 2,011.56
  4. Step 4: Simplify right side
    3,985.96x = 12,028,163.25
  5. Step 5: Solve for x
    x = 12,028,163.25/3,985.96
  6. Step 6: Final answer
    x = 3,017.63

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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.