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Finding the Fourth Proportional to 5,451.91, 7,512.06 and 3,680.44

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Solution

The fourth proportional to 5,451.91, 7,512.06 and 3,680.44 is: 5,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.91 : 7,512.06 = 3,680.44 : x
  2. Step 2: Convert to fraction form
    5,451.91/7,512.06 = 3,680.44/x
  3. Step 3: Cross multiply
    5,451.91x = 7,512.06 × 3,680.44
  4. Step 4: Simplify right side
    5,451.91x = 27,647,686.11
  5. Step 5: Solve for x
    x = 27,647,686.11/5,451.91
  6. Step 6: Final answer
    x = 5,071.19

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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.