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Finding the Fourth Proportional to 3,228.99, 4,843.49 and 2,133.10

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Solution

The fourth proportional to 3,228.99, 4,843.49 and 2,133.10 is: 3,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.99 : 4,843.49 = 2,133.10 : x
  2. Step 2: Convert to fraction form
    3,228.99/4,843.49 = 2,133.10/x
  3. Step 3: Cross multiply
    3,228.99x = 4,843.49 × 2,133.10
  4. Step 4: Simplify right side
    3,228.99x = 10,331,648.52
  5. Step 5: Solve for x
    x = 10,331,648.52/3,228.99
  6. Step 6: Final answer
    x = 3,199.65

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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.