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Finding the Fourth Proportional to 5,367.70, 8,046.90 and 2,083.06

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Solution

The fourth proportional to 5,367.70, 8,046.90 and 2,083.06 is: 3,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.70 : 8,046.90 = 2,083.06 : x
  2. Step 2: Convert to fraction form
    5,367.70/8,046.90 = 2,083.06/x
  3. Step 3: Cross multiply
    5,367.70x = 8,046.90 × 2,083.06
  4. Step 4: Simplify right side
    5,367.70x = 16,762,175.51
  5. Step 5: Solve for x
    x = 16,762,175.51/5,367.70
  6. Step 6: Final answer
    x = 3,122.79

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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.