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Finding the Fourth Proportional to 4,781.74, 7,174.43 and 2,704.09

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Solution

The fourth proportional to 4,781.74, 7,174.43 and 2,704.09 is: 4,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.74 : 7,174.43 = 2,704.09 : x
  2. Step 2: Convert to fraction form
    4,781.74/7,174.43 = 2,704.09/x
  3. Step 3: Cross multiply
    4,781.74x = 7,174.43 × 2,704.09
  4. Step 4: Simplify right side
    4,781.74x = 19,400,304.42
  5. Step 5: Solve for x
    x = 19,400,304.42/4,781.74
  6. Step 6: Final answer
    x = 4,057.16

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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.