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Finding the Fourth Proportional to 5,120.64, 7,683.36 and 1,999.83

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Solution

The fourth proportional to 5,120.64, 7,683.36 and 1,999.83 is: 3,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.64 : 7,683.36 = 1,999.83 : x
  2. Step 2: Convert to fraction form
    5,120.64/7,683.36 = 1,999.83/x
  3. Step 3: Cross multiply
    5,120.64x = 7,683.36 × 1,999.83
  4. Step 4: Simplify right side
    5,120.64x = 15,365,413.83
  5. Step 5: Solve for x
    x = 15,365,413.83/5,120.64
  6. Step 6: Final answer
    x = 3,000.68

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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.