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Finding the Fourth Proportional to 3,982.30, 5,959.47 and 3,271.22

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Solution

The fourth proportional to 3,982.30, 5,959.47 and 3,271.22 is: 4,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.30 : 5,959.47 = 3,271.22 : x
  2. Step 2: Convert to fraction form
    3,982.30/5,959.47 = 3,271.22/x
  3. Step 3: Cross multiply
    3,982.30x = 5,959.47 × 3,271.22
  4. Step 4: Simplify right side
    3,982.30x = 19,494,742.27
  5. Step 5: Solve for x
    x = 19,494,742.27/3,982.30
  6. Step 6: Final answer
    x = 4,895.35

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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.