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Finding the Fourth Proportional to 4,896.70, 7,340.73 and 2,302.78

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Solution

The fourth proportional to 4,896.70, 7,340.73 and 2,302.78 is: 3,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.70 : 7,340.73 = 2,302.78 : x
  2. Step 2: Convert to fraction form
    4,896.70/7,340.73 = 2,302.78/x
  3. Step 3: Cross multiply
    4,896.70x = 7,340.73 × 2,302.78
  4. Step 4: Simplify right side
    4,896.70x = 16,904,086.23
  5. Step 5: Solve for x
    x = 16,904,086.23/4,896.70
  6. Step 6: Final answer
    x = 3,452.14

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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.