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Finding the Fourth Proportional to 5,118.96, 7,678.41 and 1,608.97

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Solution

The fourth proportional to 5,118.96, 7,678.41 and 1,608.97 is: 2,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.96 : 7,678.41 = 1,608.97 : x
  2. Step 2: Convert to fraction form
    5,118.96/7,678.41 = 1,608.97/x
  3. Step 3: Cross multiply
    5,118.96x = 7,678.41 × 1,608.97
  4. Step 4: Simplify right side
    5,118.96x = 12,354,331.34
  5. Step 5: Solve for x
    x = 12,354,331.34/5,118.96
  6. Step 6: Final answer
    x = 2,413.45

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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.