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Finding the Fourth Proportional to 4,895.38, 6,755.61 and 2,657.23

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Solution

The fourth proportional to 4,895.38, 6,755.61 and 2,657.23 is: 3,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.38 : 6,755.61 = 2,657.23 : x
  2. Step 2: Convert to fraction form
    4,895.38/6,755.61 = 2,657.23/x
  3. Step 3: Cross multiply
    4,895.38x = 6,755.61 × 2,657.23
  4. Step 4: Simplify right side
    4,895.38x = 17,951,229.93
  5. Step 5: Solve for x
    x = 17,951,229.93/4,895.38
  6. Step 6: Final answer
    x = 3,666.98

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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.