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Finding the Fourth Proportional to 5,067.94, 7,605.30 and 1,781.06

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Solution

The fourth proportional to 5,067.94, 7,605.30 and 1,781.06 is: 2,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.94 : 7,605.30 = 1,781.06 : x
  2. Step 2: Convert to fraction form
    5,067.94/7,605.30 = 1,781.06/x
  3. Step 3: Cross multiply
    5,067.94x = 7,605.30 × 1,781.06
  4. Step 4: Simplify right side
    5,067.94x = 13,545,495.62
  5. Step 5: Solve for x
    x = 13,545,495.62/5,067.94
  6. Step 6: Final answer
    x = 2,672.78

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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.