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Finding the Fourth Proportional to 3,880.47, 5,355.03 and 2,112.09

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Solution

The fourth proportional to 3,880.47, 5,355.03 and 2,112.09 is: 2,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.47 : 5,355.03 = 2,112.09 : x
  2. Step 2: Convert to fraction form
    3,880.47/5,355.03 = 2,112.09/x
  3. Step 3: Cross multiply
    3,880.47x = 5,355.03 × 2,112.09
  4. Step 4: Simplify right side
    3,880.47x = 11,310,305.31
  5. Step 5: Solve for x
    x = 11,310,305.31/3,880.47
  6. Step 6: Final answer
    x = 2,914.67

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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.