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Finding the Fourth Proportional to 5,369.66, 8,052.66 and 2,081.87

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Solution

The fourth proportional to 5,369.66, 8,052.66 and 2,081.87 is: 3,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.66 : 8,052.66 = 2,081.87 : x
  2. Step 2: Convert to fraction form
    5,369.66/8,052.66 = 2,081.87/x
  3. Step 3: Cross multiply
    5,369.66x = 8,052.66 × 2,081.87
  4. Step 4: Simplify right side
    5,369.66x = 16,764,551.01
  5. Step 5: Solve for x
    x = 16,764,551.01/5,369.66
  6. Step 6: Final answer
    x = 3,122.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.