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Finding the Fourth Proportional to 3,768.06, 5,652.63 and 1,268.49

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Solution

The fourth proportional to 3,768.06, 5,652.63 and 1,268.49 is: 1,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.06 : 5,652.63 = 1,268.49 : x
  2. Step 2: Convert to fraction form
    3,768.06/5,652.63 = 1,268.49/x
  3. Step 3: Cross multiply
    3,768.06x = 5,652.63 × 1,268.49
  4. Step 4: Simplify right side
    3,768.06x = 7,170,304.63
  5. Step 5: Solve for x
    x = 7,170,304.63/3,768.06
  6. Step 6: Final answer
    x = 1,902.92

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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.