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Finding the Fourth Proportional to 4,773.44, 6,586 and 3,094.92

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Solution

The fourth proportional to 4,773.44, 6,586 and 3,094.92 is: 4,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.44 : 6,586 = 3,094.92 : x
  2. Step 2: Convert to fraction form
    4,773.44/6,586 = 3,094.92/x
  3. Step 3: Cross multiply
    4,773.44x = 6,586 × 3,094.92
  4. Step 4: Simplify right side
    4,773.44x = 20,383,143.12
  5. Step 5: Solve for x
    x = 20,383,143.12/4,773.44
  6. Step 6: Final answer
    x = 4,270.12

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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.