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Finding the Fourth Proportional to 5,272.67, 7,906.00 and 2,149.01

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Solution

The fourth proportional to 5,272.67, 7,906.00 and 2,149.01 is: 3,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.67 : 7,906.00 = 2,149.01 : x
  2. Step 2: Convert to fraction form
    5,272.67/7,906.00 = 2,149.01/x
  3. Step 3: Cross multiply
    5,272.67x = 7,906.00 × 2,149.01
  4. Step 4: Simplify right side
    5,272.67x = 16,990,097.53
  5. Step 5: Solve for x
    x = 16,990,097.53/5,272.67
  6. Step 6: Final answer
    x = 3,222.30

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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.