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Finding the Fourth Proportional to 5,989, 8,265.38 and 3,505

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Solution

The fourth proportional to 5,989, 8,265.38 and 3,505 is: 4,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989 : 8,265.38 = 3,505 : x
  2. Step 2: Convert to fraction form
    5,989/8,265.38 = 3,505/x
  3. Step 3: Cross multiply
    5,989x = 8,265.38 × 3,505
  4. Step 4: Simplify right side
    5,989x = 28,970,156.90
  5. Step 5: Solve for x
    x = 28,970,156.90/5,989
  6. Step 6: Final answer
    x = 4,837.23

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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.