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Finding the Fourth Proportional to 5,188.17, 7,777.89 and 2,413.43

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Solution

The fourth proportional to 5,188.17, 7,777.89 and 2,413.43 is: 3,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.17 : 7,777.89 = 2,413.43 : x
  2. Step 2: Convert to fraction form
    5,188.17/7,777.89 = 2,413.43/x
  3. Step 3: Cross multiply
    5,188.17x = 7,777.89 × 2,413.43
  4. Step 4: Simplify right side
    5,188.17x = 18,771,393.06
  5. Step 5: Solve for x
    x = 18,771,393.06/5,188.17
  6. Step 6: Final answer
    x = 3,618.11

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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.