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Finding the Fourth Proportional to 4,676, 6,453.02 and 2,580.26

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Solution

The fourth proportional to 4,676, 6,453.02 and 2,580.26 is: 3,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676 : 6,453.02 = 2,580.26 : x
  2. Step 2: Convert to fraction form
    4,676/6,453.02 = 2,580.26/x
  3. Step 3: Cross multiply
    4,676x = 6,453.02 × 2,580.26
  4. Step 4: Simplify right side
    4,676x = 16,650,469.39
  5. Step 5: Solve for x
    x = 16,650,469.39/4,676
  6. Step 6: Final answer
    x = 3,560.84

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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.