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Finding the Fourth Proportional to 5,067.72, 7,602.66 and 1,781.01

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Solution

The fourth proportional to 5,067.72, 7,602.66 and 1,781.01 is: 2,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.72 : 7,602.66 = 1,781.01 : x
  2. Step 2: Convert to fraction form
    5,067.72/7,602.66 = 1,781.01/x
  3. Step 3: Cross multiply
    5,067.72x = 7,602.66 × 1,781.01
  4. Step 4: Simplify right side
    5,067.72x = 13,540,413.49
  5. Step 5: Solve for x
    x = 13,540,413.49/5,067.72
  6. Step 6: Final answer
    x = 2,671.89

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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.