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Finding the Fourth Proportional to 4,755.68, 6,563.16 and 2,659.82

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Solution

The fourth proportional to 4,755.68, 6,563.16 and 2,659.82 is: 3,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.68 : 6,563.16 = 2,659.82 : x
  2. Step 2: Convert to fraction form
    4,755.68/6,563.16 = 2,659.82/x
  3. Step 3: Cross multiply
    4,755.68x = 6,563.16 × 2,659.82
  4. Step 4: Simplify right side
    4,755.68x = 17,456,824.23
  5. Step 5: Solve for x
    x = 17,456,824.23/4,755.68
  6. Step 6: Final answer
    x = 3,670.73

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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.