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Finding the Fourth Proportional to 3,880.69, 5,821.37 and 1,107.30

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Solution

The fourth proportional to 3,880.69, 5,821.37 and 1,107.30 is: 1,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.69 : 5,821.37 = 1,107.30 : x
  2. Step 2: Convert to fraction form
    3,880.69/5,821.37 = 1,107.30/x
  3. Step 3: Cross multiply
    3,880.69x = 5,821.37 × 1,107.30
  4. Step 4: Simplify right side
    3,880.69x = 6,446,003.00
  5. Step 5: Solve for x
    x = 6,446,003.00/3,880.69
  6. Step 6: Final answer
    x = 1,661.05

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