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Finding the Fourth Proportional to 5,067.36, 7,600.80 and 1,780.20

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Solution

The fourth proportional to 5,067.36, 7,600.80 and 1,780.20 is: 2,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.36 : 7,600.80 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    5,067.36/7,600.80 = 1,780.20/x
  3. Step 3: Cross multiply
    5,067.36x = 7,600.80 × 1,780.20
  4. Step 4: Simplify right side
    5,067.36x = 13,530,944.16
  5. Step 5: Solve for x
    x = 13,530,944.16/5,067.36
  6. Step 6: Final answer
    x = 2,670.22

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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.