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Finding the Fourth Proportional to 3,533.38, 4,874.84 and 2,019.85

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Solution

The fourth proportional to 3,533.38, 4,874.84 and 2,019.85 is: 2,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.38 : 4,874.84 = 2,019.85 : x
  2. Step 2: Convert to fraction form
    3,533.38/4,874.84 = 2,019.85/x
  3. Step 3: Cross multiply
    3,533.38x = 4,874.84 × 2,019.85
  4. Step 4: Simplify right side
    3,533.38x = 9,846,423.29
  5. Step 5: Solve for x
    x = 9,846,423.29/3,533.38
  6. Step 6: Final answer
    x = 2,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.