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Finding the Fourth Proportional to 3,880.65, 5,355.12 and 2,112.15

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Solution

The fourth proportional to 3,880.65, 5,355.12 and 2,112.15 is: 2,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.65 : 5,355.12 = 2,112.15 : x
  2. Step 2: Convert to fraction form
    3,880.65/5,355.12 = 2,112.15/x
  3. Step 3: Cross multiply
    3,880.65x = 5,355.12 × 2,112.15
  4. Step 4: Simplify right side
    3,880.65x = 11,310,816.71
  5. Step 5: Solve for x
    x = 11,310,816.71/3,880.65
  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.