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Finding the Fourth Proportional to 5,067.56, 7,601.34 and 1,780.28

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Solution

The fourth proportional to 5,067.56, 7,601.34 and 1,780.28 is: 2,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.56 : 7,601.34 = 1,780.28 : x
  2. Step 2: Convert to fraction form
    5,067.56/7,601.34 = 1,780.28/x
  3. Step 3: Cross multiply
    5,067.56x = 7,601.34 × 1,780.28
  4. Step 4: Simplify right side
    5,067.56x = 13,532,510.75
  5. Step 5: Solve for x
    x = 13,532,510.75/5,067.56
  6. Step 6: Final answer
    x = 2,670.42

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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.