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Finding the Fourth Proportional to 5,837.08, 8,056.23 and 3,446.92

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Solution

The fourth proportional to 5,837.08, 8,056.23 and 3,446.92 is: 4,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.08 : 8,056.23 = 3,446.92 : x
  2. Step 2: Convert to fraction form
    5,837.08/8,056.23 = 3,446.92/x
  3. Step 3: Cross multiply
    5,837.08x = 8,056.23 × 3,446.92
  4. Step 4: Simplify right side
    5,837.08x = 27,769,180.31
  5. Step 5: Solve for x
    x = 27,769,180.31/5,837.08
  6. Step 6: Final answer
    x = 4,757.38

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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.