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Finding the Fourth Proportional to 6,065.90, 8,371.73 and 3,413.84

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Solution

The fourth proportional to 6,065.90, 8,371.73 and 3,413.84 is: 4,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.90 : 8,371.73 = 3,413.84 : x
  2. Step 2: Convert to fraction form
    6,065.90/8,371.73 = 3,413.84/x
  3. Step 3: Cross multiply
    6,065.90x = 8,371.73 × 3,413.84
  4. Step 4: Simplify right side
    6,065.90x = 28,579,687.82
  5. Step 5: Solve for x
    x = 28,579,687.82/6,065.90
  6. Step 6: Final answer
    x = 4,711.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.