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Finding the Fourth Proportional to 3,563.37, 5,340.19 and 1,920.69

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Solution

The fourth proportional to 3,563.37, 5,340.19 and 1,920.69 is: 2,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.37 : 5,340.19 = 1,920.69 : x
  2. Step 2: Convert to fraction form
    3,563.37/5,340.19 = 1,920.69/x
  3. Step 3: Cross multiply
    3,563.37x = 5,340.19 × 1,920.69
  4. Step 4: Simplify right side
    3,563.37x = 10,256,836.01
  5. Step 5: Solve for x
    x = 10,256,836.01/3,563.37
  6. Step 6: Final answer
    x = 2,878.41

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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.