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Finding the Fourth Proportional to 5,474.34, 8,211.69 and 1,578.78

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Solution

The fourth proportional to 5,474.34, 8,211.69 and 1,578.78 is: 2,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.34 : 8,211.69 = 1,578.78 : x
  2. Step 2: Convert to fraction form
    5,474.34/8,211.69 = 1,578.78/x
  3. Step 3: Cross multiply
    5,474.34x = 8,211.69 × 1,578.78
  4. Step 4: Simplify right side
    5,474.34x = 12,964,451.94
  5. Step 5: Solve for x
    x = 12,964,451.94/5,474.34
  6. Step 6: Final answer
    x = 2,368.22

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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.