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Finding the Fourth Proportional to 5,850, 8,073 and 3,367.44

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Solution

The fourth proportional to 5,850, 8,073 and 3,367.44 is: 4,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 8,073 = 3,367.44 : x
  2. Step 2: Convert to fraction form
    5,850/8,073 = 3,367.44/x
  3. Step 3: Cross multiply
    5,850x = 8,073 × 3,367.44
  4. Step 4: Simplify right side
    5,850x = 27,185,343.12
  5. Step 5: Solve for x
    x = 27,185,343.12/5,850
  6. Step 6: Final answer
    x = 4,647.07

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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.