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Finding the Fourth Proportional to 5,885, 8,121.30 and 3,677

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Solution

The fourth proportional to 5,885, 8,121.30 and 3,677 is: 5,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885 : 8,121.30 = 3,677 : x
  2. Step 2: Convert to fraction form
    5,885/8,121.30 = 3,677/x
  3. Step 3: Cross multiply
    5,885x = 8,121.30 × 3,677
  4. Step 4: Simplify right side
    5,885x = 29,862,020.10
  5. Step 5: Solve for x
    x = 29,862,020.10/5,885
  6. Step 6: Final answer
    x = 5,074.26

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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.