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Finding the Fourth Proportional to 3,790.64, 5,683.80 and 2,033.48

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Solution

The fourth proportional to 3,790.64, 5,683.80 and 2,033.48 is: 3,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.64 : 5,683.80 = 2,033.48 : x
  2. Step 2: Convert to fraction form
    3,790.64/5,683.80 = 2,033.48/x
  3. Step 3: Cross multiply
    3,790.64x = 5,683.80 × 2,033.48
  4. Step 4: Simplify right side
    3,790.64x = 11,557,893.62
  5. Step 5: Solve for x
    x = 11,557,893.62/3,790.64
  6. Step 6: Final answer
    x = 3,049.06

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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.