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Finding the Fourth Proportional to 5,474.46, 8,212.91 and 1,578.57

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Solution

The fourth proportional to 5,474.46, 8,212.91 and 1,578.57 is: 2,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.46 : 8,212.91 = 1,578.57 : x
  2. Step 2: Convert to fraction form
    5,474.46/8,212.91 = 1,578.57/x
  3. Step 3: Cross multiply
    5,474.46x = 8,212.91 × 1,578.57
  4. Step 4: Simplify right side
    5,474.46x = 12,964,604.38
  5. Step 5: Solve for x
    x = 12,964,604.38/5,474.46
  6. Step 6: Final answer
    x = 2,368.20

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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.