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Finding the Fourth Proportional to 5,409.56, 8,128.02 and 5,190.86

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Solution

The fourth proportional to 5,409.56, 8,128.02 and 5,190.86 is: 7,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.56 : 8,128.02 = 5,190.86 : x
  2. Step 2: Convert to fraction form
    5,409.56/8,128.02 = 5,190.86/x
  3. Step 3: Cross multiply
    5,409.56x = 8,128.02 × 5,190.86
  4. Step 4: Simplify right side
    5,409.56x = 42,191,413.90
  5. Step 5: Solve for x
    x = 42,191,413.90/5,409.56
  6. Step 6: Final answer
    x = 7,799.42

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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.