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Finding the Fourth Proportional to 6,208.31, 8,567.67 and 3,413.81

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Solution

The fourth proportional to 6,208.31, 8,567.67 and 3,413.81 is: 4,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.31 : 8,567.67 = 3,413.81 : x
  2. Step 2: Convert to fraction form
    6,208.31/8,567.67 = 3,413.81/x
  3. Step 3: Cross multiply
    6,208.31x = 8,567.67 × 3,413.81
  4. Step 4: Simplify right side
    6,208.31x = 29,248,431.74
  5. Step 5: Solve for x
    x = 29,248,431.74/6,208.31
  6. Step 6: Final answer
    x = 4,711.17

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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.