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Finding the Fourth Proportional to 4,202.08, 6,270.28 and 3,764.80

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Solution

The fourth proportional to 4,202.08, 6,270.28 and 3,764.80 is: 5,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.08 : 6,270.28 = 3,764.80 : x
  2. Step 2: Convert to fraction form
    4,202.08/6,270.28 = 3,764.80/x
  3. Step 3: Cross multiply
    4,202.08x = 6,270.28 × 3,764.80
  4. Step 4: Simplify right side
    4,202.08x = 23,606,350.14
  5. Step 5: Solve for x
    x = 23,606,350.14/4,202.08
  6. Step 6: Final answer
    x = 5,617.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.