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Finding the Fourth Proportional to 3,683.92, 5,083.42 and 2,267.69

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Solution

The fourth proportional to 3,683.92, 5,083.42 and 2,267.69 is: 3,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.92 : 5,083.42 = 2,267.69 : x
  2. Step 2: Convert to fraction form
    3,683.92/5,083.42 = 2,267.69/x
  3. Step 3: Cross multiply
    3,683.92x = 5,083.42 × 2,267.69
  4. Step 4: Simplify right side
    3,683.92x = 11,527,620.70
  5. Step 5: Solve for x
    x = 11,527,620.70/3,683.92
  6. Step 6: Final answer
    x = 3,129.17

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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.