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Finding the Fourth Proportional to 3,734.90, 5,601.27 and 1,268.34

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Solution

The fourth proportional to 3,734.90, 5,601.27 and 1,268.34 is: 1,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.90 : 5,601.27 = 1,268.34 : x
  2. Step 2: Convert to fraction form
    3,734.90/5,601.27 = 1,268.34/x
  3. Step 3: Cross multiply
    3,734.90x = 5,601.27 × 1,268.34
  4. Step 4: Simplify right side
    3,734.90x = 7,104,314.79
  5. Step 5: Solve for x
    x = 7,104,314.79/3,734.90
  6. Step 6: Final answer
    x = 1,902.15

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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.