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Finding the Fourth Proportional to 4,850.94, 6,691.38 and 2,961.66

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Solution

The fourth proportional to 4,850.94, 6,691.38 and 2,961.66 is: 4,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.94 : 6,691.38 = 2,961.66 : x
  2. Step 2: Convert to fraction form
    4,850.94/6,691.38 = 2,961.66/x
  3. Step 3: Cross multiply
    4,850.94x = 6,691.38 × 2,961.66
  4. Step 4: Simplify right side
    4,850.94x = 19,817,592.49
  5. Step 5: Solve for x
    x = 19,817,592.49/4,850.94
  6. Step 6: Final answer
    x = 4,085.31

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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.