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Finding the Fourth Proportional to 5,859, 8,085.48 and 3,375

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Solution

The fourth proportional to 5,859, 8,085.48 and 3,375 is: 4,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,085.48 = 3,375 : x
  2. Step 2: Convert to fraction form
    5,859/8,085.48 = 3,375/x
  3. Step 3: Cross multiply
    5,859x = 8,085.48 × 3,375
  4. Step 4: Simplify right side
    5,859x = 27,288,495
  5. Step 5: Solve for x
    x = 27,288,495/5,859
  6. Step 6: Final answer
    x = 4,657.53

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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.