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Finding the Fourth Proportional to 3,683.28, 5,083.44 and 2,112

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Solution

The fourth proportional to 3,683.28, 5,083.44 and 2,112 is: 2,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.28 : 5,083.44 = 2,112 : x
  2. Step 2: Convert to fraction form
    3,683.28/5,083.44 = 2,112/x
  3. Step 3: Cross multiply
    3,683.28x = 5,083.44 × 2,112
  4. Step 4: Simplify right side
    3,683.28x = 10,736,225.28
  5. Step 5: Solve for x
    x = 10,736,225.28/3,683.28
  6. Step 6: Final answer
    x = 2,914.85

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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.