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Finding the Fourth Proportional to 5,931.71, 8,186.37 and 3,413.92

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Solution

The fourth proportional to 5,931.71, 8,186.37 and 3,413.92 is: 4,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.71 : 8,186.37 = 3,413.92 : x
  2. Step 2: Convert to fraction form
    5,931.71/8,186.37 = 3,413.92/x
  3. Step 3: Cross multiply
    5,931.71x = 8,186.37 × 3,413.92
  4. Step 4: Simplify right side
    5,931.71x = 27,947,571.34
  5. Step 5: Solve for x
    x = 27,947,571.34/5,931.71
  6. Step 6: Final answer
    x = 4,711.55

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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.