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Finding the Fourth Proportional to 5,469.62, 8,204.82 and 1,574.36

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Solution

The fourth proportional to 5,469.62, 8,204.82 and 1,574.36 is: 2,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.62 : 8,204.82 = 1,574.36 : x
  2. Step 2: Convert to fraction form
    5,469.62/8,204.82 = 1,574.36/x
  3. Step 3: Cross multiply
    5,469.62x = 8,204.82 × 1,574.36
  4. Step 4: Simplify right side
    5,469.62x = 12,917,340.42
  5. Step 5: Solve for x
    x = 12,917,340.42/5,469.62
  6. Step 6: Final answer
    x = 2,361.65

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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.