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Finding the Fourth Proportional to 3,413.79, 5,120.78 and 1,333.71

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Solution

The fourth proportional to 3,413.79, 5,120.78 and 1,333.71 is: 2,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.79 : 5,120.78 = 1,333.71 : x
  2. Step 2: Convert to fraction form
    3,413.79/5,120.78 = 1,333.71/x
  3. Step 3: Cross multiply
    3,413.79x = 5,120.78 × 1,333.71
  4. Step 4: Simplify right side
    3,413.79x = 6,829,617.12
  5. Step 5: Solve for x
    x = 6,829,617.12/3,413.79
  6. Step 6: Final answer
    x = 2,000.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.