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Finding the Fourth Proportional to 4,900.93, 6,760.70 and 3,105.24

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Solution

The fourth proportional to 4,900.93, 6,760.70 and 3,105.24 is: 4,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.93 : 6,760.70 = 3,105.24 : x
  2. Step 2: Convert to fraction form
    4,900.93/6,760.70 = 3,105.24/x
  3. Step 3: Cross multiply
    4,900.93x = 6,760.70 × 3,105.24
  4. Step 4: Simplify right side
    4,900.93x = 20,993,580.54
  5. Step 5: Solve for x
    x = 20,993,580.54/4,900.93
  6. Step 6: Final answer
    x = 4,283.59

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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.