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Finding the Fourth Proportional to 5,030.82, 6,942.87 and 2,906.82

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Solution

The fourth proportional to 5,030.82, 6,942.87 and 2,906.82 is: 4,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.82 : 6,942.87 = 2,906.82 : x
  2. Step 2: Convert to fraction form
    5,030.82/6,942.87 = 2,906.82/x
  3. Step 3: Cross multiply
    5,030.82x = 6,942.87 × 2,906.82
  4. Step 4: Simplify right side
    5,030.82x = 20,181,673.37
  5. Step 5: Solve for x
    x = 20,181,673.37/5,030.82
  6. Step 6: Final answer
    x = 4,011.61

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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.