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Finding the Fourth Proportional to 3,837.92, 5,295.38 and 2,159

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Solution

The fourth proportional to 3,837.92, 5,295.38 and 2,159 is: 2,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.92 : 5,295.38 = 2,159 : x
  2. Step 2: Convert to fraction form
    3,837.92/5,295.38 = 2,159/x
  3. Step 3: Cross multiply
    3,837.92x = 5,295.38 × 2,159
  4. Step 4: Simplify right side
    3,837.92x = 11,432,725.42
  5. Step 5: Solve for x
    x = 11,432,725.42/3,837.92
  6. Step 6: Final answer
    x = 2,978.89

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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.