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Finding the Fourth Proportional to 4,536, 6,260.09 and 2,546.64

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Solution

The fourth proportional to 4,536, 6,260.09 and 2,546.64 is: 3,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 6,260.09 = 2,546.64 : x
  2. Step 2: Convert to fraction form
    4,536/6,260.09 = 2,546.64/x
  3. Step 3: Cross multiply
    4,536x = 6,260.09 × 2,546.64
  4. Step 4: Simplify right side
    4,536x = 15,942,182.86
  5. Step 5: Solve for x
    x = 15,942,182.86/4,536
  6. Step 6: Final answer
    x = 3,514.59

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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.