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Finding the Fourth Proportional to 5,067.74, 7,602.82 and 1,604.98

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Solution

The fourth proportional to 5,067.74, 7,602.82 and 1,604.98 is: 2,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.74 : 7,602.82 = 1,604.98 : x
  2. Step 2: Convert to fraction form
    5,067.74/7,602.82 = 1,604.98/x
  3. Step 3: Cross multiply
    5,067.74x = 7,602.82 × 1,604.98
  4. Step 4: Simplify right side
    5,067.74x = 12,202,374.04
  5. Step 5: Solve for x
    x = 12,202,374.04/5,067.74
  6. Step 6: Final answer
    x = 2,407.85

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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.