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Finding the Fourth Proportional to 4,113.44, 5,704 and 3,974.90

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Solution

The fourth proportional to 4,113.44, 5,704 and 3,974.90 is: 5,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.44 : 5,704 = 3,974.90 : x
  2. Step 2: Convert to fraction form
    4,113.44/5,704 = 3,974.90/x
  3. Step 3: Cross multiply
    4,113.44x = 5,704 × 3,974.90
  4. Step 4: Simplify right side
    4,113.44x = 22,672,829.60
  5. Step 5: Solve for x
    x = 22,672,829.60/4,113.44
  6. Step 6: Final answer
    x = 5,511.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.