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Finding the Fourth Proportional to 4,683.92, 6,469.26 and 3,109.28

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Solution

The fourth proportional to 4,683.92, 6,469.26 and 3,109.28 is: 4,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.92 : 6,469.26 = 3,109.28 : x
  2. Step 2: Convert to fraction form
    4,683.92/6,469.26 = 3,109.28/x
  3. Step 3: Cross multiply
    4,683.92x = 6,469.26 × 3,109.28
  4. Step 4: Simplify right side
    4,683.92x = 20,114,740.73
  5. Step 5: Solve for x
    x = 20,114,740.73/4,683.92
  6. Step 6: Final answer
    x = 4,294.42

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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.