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Finding the Fourth Proportional to 3,406.44, 5,107.32 and 1,650.48

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Solution

The fourth proportional to 3,406.44, 5,107.32 and 1,650.48 is: 2,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.44 : 5,107.32 = 1,650.48 : x
  2. Step 2: Convert to fraction form
    3,406.44/5,107.32 = 1,650.48/x
  3. Step 3: Cross multiply
    3,406.44x = 5,107.32 × 1,650.48
  4. Step 4: Simplify right side
    3,406.44x = 8,429,529.51
  5. Step 5: Solve for x
    x = 8,429,529.51/3,406.44
  6. Step 6: Final answer
    x = 2,474.59

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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.