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Finding the Fourth Proportional to 3,880.96, 5,822.36 and 1,107.67

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Solution

The fourth proportional to 3,880.96, 5,822.36 and 1,107.67 is: 1,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.96 : 5,822.36 = 1,107.67 : x
  2. Step 2: Convert to fraction form
    3,880.96/5,822.36 = 1,107.67/x
  3. Step 3: Cross multiply
    3,880.96x = 5,822.36 × 1,107.67
  4. Step 4: Simplify right side
    3,880.96x = 6,449,253.50
  5. Step 5: Solve for x
    x = 6,449,253.50/3,880.96
  6. Step 6: Final answer
    x = 1,661.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.