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Finding the Fourth Proportional to 3,683.09, 5,526.27 and 1,951.31

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Solution

The fourth proportional to 3,683.09, 5,526.27 and 1,951.31 is: 2,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.09 : 5,526.27 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    3,683.09/5,526.27 = 1,951.31/x
  3. Step 3: Cross multiply
    3,683.09x = 5,526.27 × 1,951.31
  4. Step 4: Simplify right side
    3,683.09x = 10,783,479.73
  5. Step 5: Solve for x
    x = 10,783,479.73/3,683.09
  6. Step 6: Final answer
    x = 2,927.83

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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.