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Finding the Fourth Proportional to 3,905.69, 5,859.22 and 1,440.53

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Solution

The fourth proportional to 3,905.69, 5,859.22 and 1,440.53 is: 2,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.69 : 5,859.22 = 1,440.53 : x
  2. Step 2: Convert to fraction form
    3,905.69/5,859.22 = 1,440.53/x
  3. Step 3: Cross multiply
    3,905.69x = 5,859.22 × 1,440.53
  4. Step 4: Simplify right side
    3,905.69x = 8,440,413.00
  5. Step 5: Solve for x
    x = 8,440,413.00/3,905.69
  6. Step 6: Final answer
    x = 2,161.05

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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.