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Finding the Fourth Proportional to 5,494.26, 7,583.44 and 3,137.78

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Solution

The fourth proportional to 5,494.26, 7,583.44 and 3,137.78 is: 4,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.26 : 7,583.44 = 3,137.78 : x
  2. Step 2: Convert to fraction form
    5,494.26/7,583.44 = 3,137.78/x
  3. Step 3: Cross multiply
    5,494.26x = 7,583.44 × 3,137.78
  4. Step 4: Simplify right side
    5,494.26x = 23,795,166.36
  5. Step 5: Solve for x
    x = 23,795,166.36/5,494.26
  6. Step 6: Final answer
    x = 4,330.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.