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Finding the Fourth Proportional to 5,393.50, 8,090.24 and 3,083.38

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Solution

The fourth proportional to 5,393.50, 8,090.24 and 3,083.38 is: 4,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.50 : 8,090.24 = 3,083.38 : x
  2. Step 2: Convert to fraction form
    5,393.50/8,090.24 = 3,083.38/x
  3. Step 3: Cross multiply
    5,393.50x = 8,090.24 × 3,083.38
  4. Step 4: Simplify right side
    5,393.50x = 24,945,284.21
  5. Step 5: Solve for x
    x = 24,945,284.21/5,393.50
  6. Step 6: Final answer
    x = 4,625.06

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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.