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Finding the Fourth Proportional to 5,034.45, 6,946.41 and 3,044.96

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Solution

The fourth proportional to 5,034.45, 6,946.41 and 3,044.96 is: 4,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.45 : 6,946.41 = 3,044.96 : x
  2. Step 2: Convert to fraction form
    5,034.45/6,946.41 = 3,044.96/x
  3. Step 3: Cross multiply
    5,034.45x = 6,946.41 × 3,044.96
  4. Step 4: Simplify right side
    5,034.45x = 21,151,540.59
  5. Step 5: Solve for x
    x = 21,151,540.59/5,034.45
  6. Step 6: Final answer
    x = 4,201.36

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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.