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Finding the Fourth Proportional to 5,469.68, 8,204.42 and 1,574.08

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Solution

The fourth proportional to 5,469.68, 8,204.42 and 1,574.08 is: 2,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.68 : 8,204.42 = 1,574.08 : x
  2. Step 2: Convert to fraction form
    5,469.68/8,204.42 = 1,574.08/x
  3. Step 3: Cross multiply
    5,469.68x = 8,204.42 × 1,574.08
  4. Step 4: Simplify right side
    5,469.68x = 12,914,413.43
  5. Step 5: Solve for x
    x = 12,914,413.43/5,469.68
  6. Step 6: Final answer
    x = 2,361.09

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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.