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Finding the Fourth Proportional to 3,361.44, 5,042.60 and 1,514.64

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Solution

The fourth proportional to 3,361.44, 5,042.60 and 1,514.64 is: 2,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.44 : 5,042.60 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    3,361.44/5,042.60 = 1,514.64/x
  3. Step 3: Cross multiply
    3,361.44x = 5,042.60 × 1,514.64
  4. Step 4: Simplify right side
    3,361.44x = 7,637,723.66
  5. Step 5: Solve for x
    x = 7,637,723.66/3,361.44
  6. Step 6: Final answer
    x = 2,272.16

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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.