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Finding the Fourth Proportional to 4,930.97, 6,805.63 and 2,941.66

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Solution

The fourth proportional to 4,930.97, 6,805.63 and 2,941.66 is: 4,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.97 : 6,805.63 = 2,941.66 : x
  2. Step 2: Convert to fraction form
    4,930.97/6,805.63 = 2,941.66/x
  3. Step 3: Cross multiply
    4,930.97x = 6,805.63 × 2,941.66
  4. Step 4: Simplify right side
    4,930.97x = 20,019,834.84
  5. Step 5: Solve for x
    x = 20,019,834.84/4,930.97
  6. Step 6: Final answer
    x = 4,060.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.