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Finding the Fourth Proportional to 4,697, 6,481.86 and 2,601.26

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Solution

The fourth proportional to 4,697, 6,481.86 and 2,601.26 is: 3,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697 : 6,481.86 = 2,601.26 : x
  2. Step 2: Convert to fraction form
    4,697/6,481.86 = 2,601.26/x
  3. Step 3: Cross multiply
    4,697x = 6,481.86 × 2,601.26
  4. Step 4: Simplify right side
    4,697x = 16,861,003.14
  5. Step 5: Solve for x
    x = 16,861,003.14/4,697
  6. Step 6: Final answer
    x = 3,589.74

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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.