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Finding the Fourth Proportional to 5,859, 8,082.90 and 3,841.74

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Solution

The fourth proportional to 5,859, 8,082.90 and 3,841.74 is: 5,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,082.90 = 3,841.74 : x
  2. Step 2: Convert to fraction form
    5,859/8,082.90 = 3,841.74/x
  3. Step 3: Cross multiply
    5,859x = 8,082.90 × 3,841.74
  4. Step 4: Simplify right side
    5,859x = 31,052,400.25
  5. Step 5: Solve for x
    x = 31,052,400.25/5,859
  6. Step 6: Final answer
    x = 5,299.95

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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.