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Finding the Fourth Proportional to 5,142.42, 7,706.21 and 2,800.44

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Solution

The fourth proportional to 5,142.42, 7,706.21 and 2,800.44 is: 4,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.42 : 7,706.21 = 2,800.44 : x
  2. Step 2: Convert to fraction form
    5,142.42/7,706.21 = 2,800.44/x
  3. Step 3: Cross multiply
    5,142.42x = 7,706.21 × 2,800.44
  4. Step 4: Simplify right side
    5,142.42x = 21,580,764.73
  5. Step 5: Solve for x
    x = 21,580,764.73/5,142.42
  6. Step 6: Final answer
    x = 4,196.62

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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.