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Finding the Fourth Proportional to 4,942.14, 7,413.18 and 1,479.39

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Solution

The fourth proportional to 4,942.14, 7,413.18 and 1,479.39 is: 2,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.14 : 7,413.18 = 1,479.39 : x
  2. Step 2: Convert to fraction form
    4,942.14/7,413.18 = 1,479.39/x
  3. Step 3: Cross multiply
    4,942.14x = 7,413.18 × 1,479.39
  4. Step 4: Simplify right side
    4,942.14x = 10,966,984.36
  5. Step 5: Solve for x
    x = 10,966,984.36/4,942.14
  6. Step 6: Final answer
    x = 2,219.08

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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.