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Finding the Fourth Proportional to 5,205.17, 7,807.71 and 2,608.04

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Solution

The fourth proportional to 5,205.17, 7,807.71 and 2,608.04 is: 3,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.17 : 7,807.71 = 2,608.04 : x
  2. Step 2: Convert to fraction form
    5,205.17/7,807.71 = 2,608.04/x
  3. Step 3: Cross multiply
    5,205.17x = 7,807.71 × 2,608.04
  4. Step 4: Simplify right side
    5,205.17x = 20,362,819.99
  5. Step 5: Solve for x
    x = 20,362,819.99/5,205.17
  6. Step 6: Final answer
    x = 3,912.04

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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.