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Finding the Fourth Proportional to 4,755, 6,561.92 and 2,659.13

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Solution

The fourth proportional to 4,755, 6,561.92 and 2,659.13 is: 3,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755 : 6,561.92 = 2,659.13 : x
  2. Step 2: Convert to fraction form
    4,755/6,561.92 = 2,659.13/x
  3. Step 3: Cross multiply
    4,755x = 6,561.92 × 2,659.13
  4. Step 4: Simplify right side
    4,755x = 17,448,972.17
  5. Step 5: Solve for x
    x = 17,448,972.17/4,755
  6. Step 6: Final answer
    x = 3,669.61

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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.