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Finding the Fourth Proportional to 4,039, 6,054.82 and 1,441.33

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Solution

The fourth proportional to 4,039, 6,054.82 and 1,441.33 is: 2,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039 : 6,054.82 = 1,441.33 : x
  2. Step 2: Convert to fraction form
    4,039/6,054.82 = 1,441.33/x
  3. Step 3: Cross multiply
    4,039x = 6,054.82 × 1,441.33
  4. Step 4: Simplify right side
    4,039x = 8,726,993.71
  5. Step 5: Solve for x
    x = 8,726,993.71/4,039
  6. Step 6: Final answer
    x = 2,160.68

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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.