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Finding the Fourth Proportional to 4,974.36, 7,461.54 and 2,511.27

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Solution

The fourth proportional to 4,974.36, 7,461.54 and 2,511.27 is: 3,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.36 : 7,461.54 = 2,511.27 : x
  2. Step 2: Convert to fraction form
    4,974.36/7,461.54 = 2,511.27/x
  3. Step 3: Cross multiply
    4,974.36x = 7,461.54 × 2,511.27
  4. Step 4: Simplify right side
    4,974.36x = 18,737,941.56
  5. Step 5: Solve for x
    x = 18,737,941.56/4,974.36
  6. Step 6: Final answer
    x = 3,766.91

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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.