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Finding the Fourth Proportional to 3,974.25, 5,483.20 and 2,295.44

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Solution

The fourth proportional to 3,974.25, 5,483.20 and 2,295.44 is: 3,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.25 : 5,483.20 = 2,295.44 : x
  2. Step 2: Convert to fraction form
    3,974.25/5,483.20 = 2,295.44/x
  3. Step 3: Cross multiply
    3,974.25x = 5,483.20 × 2,295.44
  4. Step 4: Simplify right side
    3,974.25x = 12,586,356.61
  5. Step 5: Solve for x
    x = 12,586,356.61/3,974.25
  6. Step 6: Final answer
    x = 3,166.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.