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Finding the Fourth Proportional to 3,083.91, 4,625.86 and 775.41

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Solution

The fourth proportional to 3,083.91, 4,625.86 and 775.41 is: 1,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.91 : 4,625.86 = 775.41 : x
  2. Step 2: Convert to fraction form
    3,083.91/4,625.86 = 775.41/x
  3. Step 3: Cross multiply
    3,083.91x = 4,625.86 × 775.41
  4. Step 4: Simplify right side
    3,083.91x = 3,586,920.27
  5. Step 5: Solve for x
    x = 3,586,920.27/3,083.91
  6. Step 6: Final answer
    x = 1,163.11

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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.