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Finding the Fourth Proportional to 4,906.95, 7,359.78 and 2,906.82

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Solution

The fourth proportional to 4,906.95, 7,359.78 and 2,906.82 is: 4,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.95 : 7,359.78 = 2,906.82 : x
  2. Step 2: Convert to fraction form
    4,906.95/7,359.78 = 2,906.82/x
  3. Step 3: Cross multiply
    4,906.95x = 7,359.78 × 2,906.82
  4. Step 4: Simplify right side
    4,906.95x = 21,393,555.70
  5. Step 5: Solve for x
    x = 21,393,555.70/4,906.95
  6. Step 6: Final answer
    x = 4,359.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.