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Finding the Fourth Proportional to 5,930.79, 8,184.27 and 3,413.72

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Solution

The fourth proportional to 5,930.79, 8,184.27 and 3,413.72 is: 4,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.79 : 8,184.27 = 3,413.72 : x
  2. Step 2: Convert to fraction form
    5,930.79/8,184.27 = 3,413.72/x
  3. Step 3: Cross multiply
    5,930.79x = 8,184.27 × 3,413.72
  4. Step 4: Simplify right side
    5,930.79x = 27,938,765.26
  5. Step 5: Solve for x
    x = 27,938,765.26/5,930.79
  6. Step 6: Final answer
    x = 4,710.80

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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.