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Finding the Fourth Proportional to 3,797.09, 5,695.32 and 1,689.37

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Solution

The fourth proportional to 3,797.09, 5,695.32 and 1,689.37 is: 2,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.09 : 5,695.32 = 1,689.37 : x
  2. Step 2: Convert to fraction form
    3,797.09/5,695.32 = 1,689.37/x
  3. Step 3: Cross multiply
    3,797.09x = 5,695.32 × 1,689.37
  4. Step 4: Simplify right side
    3,797.09x = 9,621,474.27
  5. Step 5: Solve for x
    x = 9,621,474.27/3,797.09
  6. Step 6: Final answer
    x = 2,533.91

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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.