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Finding the Fourth Proportional to 3,683.79, 5,513.31 and 3,380.31

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Solution

The fourth proportional to 3,683.79, 5,513.31 and 3,380.31 is: 5,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.79 : 5,513.31 = 3,380.31 : x
  2. Step 2: Convert to fraction form
    3,683.79/5,513.31 = 3,380.31/x
  3. Step 3: Cross multiply
    3,683.79x = 5,513.31 × 3,380.31
  4. Step 4: Simplify right side
    3,683.79x = 18,636,696.93
  5. Step 5: Solve for x
    x = 18,636,696.93/3,683.79
  6. Step 6: Final answer
    x = 5,059.11

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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.