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Finding the Fourth Proportional to 3,825.49, 5,739.05 and 1,230.25

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Solution

The fourth proportional to 3,825.49, 5,739.05 and 1,230.25 is: 1,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.49 : 5,739.05 = 1,230.25 : x
  2. Step 2: Convert to fraction form
    3,825.49/5,739.05 = 1,230.25/x
  3. Step 3: Cross multiply
    3,825.49x = 5,739.05 × 1,230.25
  4. Step 4: Simplify right side
    3,825.49x = 7,060,466.26
  5. Step 5: Solve for x
    x = 7,060,466.26/3,825.49
  6. Step 6: Final answer
    x = 1,845.64

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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.