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Finding the Fourth Proportional to 4,100.69, 6,150.74 and 2,453.56

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Solution

The fourth proportional to 4,100.69, 6,150.74 and 2,453.56 is: 3,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.69 : 6,150.74 = 2,453.56 : x
  2. Step 2: Convert to fraction form
    4,100.69/6,150.74 = 2,453.56/x
  3. Step 3: Cross multiply
    4,100.69x = 6,150.74 × 2,453.56
  4. Step 4: Simplify right side
    4,100.69x = 15,091,181.99
  5. Step 5: Solve for x
    x = 15,091,181.99/4,100.69
  6. Step 6: Final answer
    x = 3,680.15

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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.