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Finding the Fourth Proportional to 4,140.68, 6,213.44 and 3,101.44

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Solution

The fourth proportional to 4,140.68, 6,213.44 and 3,101.44 is: 4,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.68 : 6,213.44 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    4,140.68/6,213.44 = 3,101.44/x
  3. Step 3: Cross multiply
    4,140.68x = 6,213.44 × 3,101.44
  4. Step 4: Simplify right side
    4,140.68x = 19,270,611.35
  5. Step 5: Solve for x
    x = 19,270,611.35/4,140.68
  6. Step 6: Final answer
    x = 4,653.97

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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.