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Finding the Fourth Proportional to 5,144.70, 7,712.18 and 2,544.60

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Solution

The fourth proportional to 5,144.70, 7,712.18 and 2,544.60 is: 3,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.70 : 7,712.18 = 2,544.60 : x
  2. Step 2: Convert to fraction form
    5,144.70/7,712.18 = 2,544.60/x
  3. Step 3: Cross multiply
    5,144.70x = 7,712.18 × 2,544.60
  4. Step 4: Simplify right side
    5,144.70x = 19,624,413.23
  5. Step 5: Solve for x
    x = 19,624,413.23/5,144.70
  6. Step 6: Final answer
    x = 3,814.49

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Why These Related Problems?

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