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Finding the Fourth Proportional to 3,606.72, 5,405.22 and 1,414.26

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Solution

The fourth proportional to 3,606.72, 5,405.22 and 1,414.26 is: 2,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.72 : 5,405.22 = 1,414.26 : x
  2. Step 2: Convert to fraction form
    3,606.72/5,405.22 = 1,414.26/x
  3. Step 3: Cross multiply
    3,606.72x = 5,405.22 × 1,414.26
  4. Step 4: Simplify right side
    3,606.72x = 7,644,386.44
  5. Step 5: Solve for x
    x = 7,644,386.44/3,606.72
  6. Step 6: Final answer
    x = 2,119.48

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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.