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Finding the Fourth Proportional to 3,223.38, 4,843.14 and 2,053.88

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Solution

The fourth proportional to 3,223.38, 4,843.14 and 2,053.88 is: 3,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.38 : 4,843.14 = 2,053.88 : x
  2. Step 2: Convert to fraction form
    3,223.38/4,843.14 = 2,053.88/x
  3. Step 3: Cross multiply
    3,223.38x = 4,843.14 × 2,053.88
  4. Step 4: Simplify right side
    3,223.38x = 9,947,228.38
  5. Step 5: Solve for x
    x = 9,947,228.38/3,223.38
  6. Step 6: Final answer
    x = 3,085.96

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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.