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Finding the Fourth Proportional to 3,982.31, 5,973.53 and 2,226.30

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Solution

The fourth proportional to 3,982.31, 5,973.53 and 2,226.30 is: 3,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.31 : 5,973.53 = 2,226.30 : x
  2. Step 2: Convert to fraction form
    3,982.31/5,973.53 = 2,226.30/x
  3. Step 3: Cross multiply
    3,982.31x = 5,973.53 × 2,226.30
  4. Step 4: Simplify right side
    3,982.31x = 13,298,858.71
  5. Step 5: Solve for x
    x = 13,298,858.71/3,982.31
  6. Step 6: Final answer
    x = 3,339.49

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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.