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Finding the Fourth Proportional to 3,678.50, 5,517.76 and 942.50

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Solution

The fourth proportional to 3,678.50, 5,517.76 and 942.50 is: 1,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.50 : 5,517.76 = 942.50 : x
  2. Step 2: Convert to fraction form
    3,678.50/5,517.76 = 942.50/x
  3. Step 3: Cross multiply
    3,678.50x = 5,517.76 × 942.50
  4. Step 4: Simplify right side
    3,678.50x = 5,200,488.80
  5. Step 5: Solve for x
    x = 5,200,488.80/3,678.50
  6. Step 6: Final answer
    x = 1,413.75

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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.