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Finding the Fourth Proportional to 5,850, 8,073.24 and 3,366

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Solution

The fourth proportional to 5,850, 8,073.24 and 3,366 is: 4,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 8,073.24 = 3,366 : x
  2. Step 2: Convert to fraction form
    5,850/8,073.24 = 3,366/x
  3. Step 3: Cross multiply
    5,850x = 8,073.24 × 3,366
  4. Step 4: Simplify right side
    5,850x = 27,174,525.84
  5. Step 5: Solve for x
    x = 27,174,525.84/5,850
  6. Step 6: Final answer
    x = 4,645.22

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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.