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Finding the Fourth Proportional to 4,760.82, 7,133.94 and 4,141.44

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Solution

The fourth proportional to 4,760.82, 7,133.94 and 4,141.44 is: 6,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.82 : 7,133.94 = 4,141.44 : x
  2. Step 2: Convert to fraction form
    4,760.82/7,133.94 = 4,141.44/x
  3. Step 3: Cross multiply
    4,760.82x = 7,133.94 × 4,141.44
  4. Step 4: Simplify right side
    4,760.82x = 29,544,784.47
  5. Step 5: Solve for x
    x = 29,544,784.47/4,760.82
  6. Step 6: Final answer
    x = 6,205.82

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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.