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Finding the Fourth Proportional to 3,880.90, 5,822.25 and 1,107.61

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Solution

The fourth proportional to 3,880.90, 5,822.25 and 1,107.61 is: 1,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.90 : 5,822.25 = 1,107.61 : x
  2. Step 2: Convert to fraction form
    3,880.90/5,822.25 = 1,107.61/x
  3. Step 3: Cross multiply
    3,880.90x = 5,822.25 × 1,107.61
  4. Step 4: Simplify right side
    3,880.90x = 6,448,782.32
  5. Step 5: Solve for x
    x = 6,448,782.32/3,880.90
  6. Step 6: Final answer
    x = 1,661.67

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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.