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Finding the Fourth Proportional to 4,760.24, 7,127.94 and 3,830.72

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Solution

The fourth proportional to 4,760.24, 7,127.94 and 3,830.72 is: 5,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.24 : 7,127.94 = 3,830.72 : x
  2. Step 2: Convert to fraction form
    4,760.24/7,127.94 = 3,830.72/x
  3. Step 3: Cross multiply
    4,760.24x = 7,127.94 × 3,830.72
  4. Step 4: Simplify right side
    4,760.24x = 27,305,142.32
  5. Step 5: Solve for x
    x = 27,305,142.32/4,760.24
  6. Step 6: Final answer
    x = 5,736.09

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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.