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Finding the Fourth Proportional to 4,942.14, 7,413.21 and 2,689.98

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Solution

The fourth proportional to 4,942.14, 7,413.21 and 2,689.98 is: 4,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.14 : 7,413.21 = 2,689.98 : x
  2. Step 2: Convert to fraction form
    4,942.14/7,413.21 = 2,689.98/x
  3. Step 3: Cross multiply
    4,942.14x = 7,413.21 × 2,689.98
  4. Step 4: Simplify right side
    4,942.14x = 19,941,386.64
  5. Step 5: Solve for x
    x = 19,941,386.64/4,942.14
  6. Step 6: Final answer
    x = 4,034.97

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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.