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Finding the Fourth Proportional to 4,942.98, 7,415.46 and 2,746.98

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Solution

The fourth proportional to 4,942.98, 7,415.46 and 2,746.98 is: 4,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.98 : 7,415.46 = 2,746.98 : x
  2. Step 2: Convert to fraction form
    4,942.98/7,415.46 = 2,746.98/x
  3. Step 3: Cross multiply
    4,942.98x = 7,415.46 × 2,746.98
  4. Step 4: Simplify right side
    4,942.98x = 20,370,120.31
  5. Step 5: Solve for x
    x = 20,370,120.31/4,942.98
  6. Step 6: Final answer
    x = 4,121.02

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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.