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Finding the Fourth Proportional to 3,892, 5,838.62 and 1,295.55

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Solution

The fourth proportional to 3,892, 5,838.62 and 1,295.55 is: 1,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892 : 5,838.62 = 1,295.55 : x
  2. Step 2: Convert to fraction form
    3,892/5,838.62 = 1,295.55/x
  3. Step 3: Cross multiply
    3,892x = 5,838.62 × 1,295.55
  4. Step 4: Simplify right side
    3,892x = 7,564,224.14
  5. Step 5: Solve for x
    x = 7,564,224.14/3,892
  6. Step 6: Final answer
    x = 1,943.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.