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Finding the Fourth Proportional to 5,202.06, 7,806.16 and 2,737.07

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Solution

The fourth proportional to 5,202.06, 7,806.16 and 2,737.07 is: 4,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.06 : 7,806.16 = 2,737.07 : x
  2. Step 2: Convert to fraction form
    5,202.06/7,806.16 = 2,737.07/x
  3. Step 3: Cross multiply
    5,202.06x = 7,806.16 × 2,737.07
  4. Step 4: Simplify right side
    5,202.06x = 21,366,006.35
  5. Step 5: Solve for x
    x = 21,366,006.35/5,202.06
  6. Step 6: Final answer
    x = 4,107.22

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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.