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Finding the Fourth Proportional to 3,537.29, 5,297.72 and 3,414.27

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Solution

The fourth proportional to 3,537.29, 5,297.72 and 3,414.27 is: 5,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.29 : 5,297.72 = 3,414.27 : x
  2. Step 2: Convert to fraction form
    3,537.29/5,297.72 = 3,414.27/x
  3. Step 3: Cross multiply
    3,537.29x = 5,297.72 × 3,414.27
  4. Step 4: Simplify right side
    3,537.29x = 18,087,846.46
  5. Step 5: Solve for x
    x = 18,087,846.46/3,537.29
  6. Step 6: Final answer
    x = 5,113.48

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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.