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Finding the Fourth Proportional to 5,932.76, 8,186.36 and 3,413.90

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Solution

The fourth proportional to 5,932.76, 8,186.36 and 3,413.90 is: 4,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.76 : 8,186.36 = 3,413.90 : x
  2. Step 2: Convert to fraction form
    5,932.76/8,186.36 = 3,413.90/x
  3. Step 3: Cross multiply
    5,932.76x = 8,186.36 × 3,413.90
  4. Step 4: Simplify right side
    5,932.76x = 27,947,414.40
  5. Step 5: Solve for x
    x = 27,947,414.40/5,932.76
  6. Step 6: Final answer
    x = 4,710.69

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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.