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Finding the Fourth Proportional to 5,067.38, 7,600.80 and 1,780.22

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Solution

The fourth proportional to 5,067.38, 7,600.80 and 1,780.22 is: 2,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.38 : 7,600.80 = 1,780.22 : x
  2. Step 2: Convert to fraction form
    5,067.38/7,600.80 = 1,780.22/x
  3. Step 3: Cross multiply
    5,067.38x = 7,600.80 × 1,780.22
  4. Step 4: Simplify right side
    5,067.38x = 13,531,096.18
  5. Step 5: Solve for x
    x = 13,531,096.18/5,067.38
  6. Step 6: Final answer
    x = 2,670.24

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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.