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Finding the Fourth Proportional to 4,190.54, 6,285.12 and 1,268.16

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Solution

The fourth proportional to 4,190.54, 6,285.12 and 1,268.16 is: 1,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.54 : 6,285.12 = 1,268.16 : x
  2. Step 2: Convert to fraction form
    4,190.54/6,285.12 = 1,268.16/x
  3. Step 3: Cross multiply
    4,190.54x = 6,285.12 × 1,268.16
  4. Step 4: Simplify right side
    4,190.54x = 7,970,513.02
  5. Step 5: Solve for x
    x = 7,970,513.02/4,190.54
  6. Step 6: Final answer
    x = 1,902.03

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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.