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Finding the Fourth Proportional to 3,813.54, 5,694.93 and 3,772.31

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Solution

The fourth proportional to 3,813.54, 5,694.93 and 3,772.31 is: 5,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.54 : 5,694.93 = 3,772.31 : x
  2. Step 2: Convert to fraction form
    3,813.54/5,694.93 = 3,772.31/x
  3. Step 3: Cross multiply
    3,813.54x = 5,694.93 × 3,772.31
  4. Step 4: Simplify right side
    3,813.54x = 21,483,012.91
  5. Step 5: Solve for x
    x = 21,483,012.91/3,813.54
  6. Step 6: Final answer
    x = 5,633.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.