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Finding the Fourth Proportional to 4,015.49, 6,024.41 and 1,825.97

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Solution

The fourth proportional to 4,015.49, 6,024.41 and 1,825.97 is: 2,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.49 : 6,024.41 = 1,825.97 : x
  2. Step 2: Convert to fraction form
    4,015.49/6,024.41 = 1,825.97/x
  3. Step 3: Cross multiply
    4,015.49x = 6,024.41 × 1,825.97
  4. Step 4: Simplify right side
    4,015.49x = 11,000,391.93
  5. Step 5: Solve for x
    x = 11,000,391.93/4,015.49
  6. Step 6: Final answer
    x = 2,739.49

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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.