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Finding the Fourth Proportional to 3,228.96, 4,847.49 and 2,193.51

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Solution

The fourth proportional to 3,228.96, 4,847.49 and 2,193.51 is: 3,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.96 : 4,847.49 = 2,193.51 : x
  2. Step 2: Convert to fraction form
    3,228.96/4,847.49 = 2,193.51/x
  3. Step 3: Cross multiply
    3,228.96x = 4,847.49 × 2,193.51
  4. Step 4: Simplify right side
    3,228.96x = 10,633,017.79
  5. Step 5: Solve for x
    x = 10,633,017.79/3,228.96
  6. Step 6: Final answer
    x = 3,293.02

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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.