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Finding the Fourth Proportional to 3,494.16, 5,238.36 and 1,644.32

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Solution

The fourth proportional to 3,494.16, 5,238.36 and 1,644.32 is: 2,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.16 : 5,238.36 = 1,644.32 : x
  2. Step 2: Convert to fraction form
    3,494.16/5,238.36 = 1,644.32/x
  3. Step 3: Cross multiply
    3,494.16x = 5,238.36 × 1,644.32
  4. Step 4: Simplify right side
    3,494.16x = 8,613,540.12
  5. Step 5: Solve for x
    x = 8,613,540.12/3,494.16
  6. Step 6: Final answer
    x = 2,465.12

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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.