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Finding the Fourth Proportional to 4,093.78, 6,121.86 and 3,054.46

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Solution

The fourth proportional to 4,093.78, 6,121.86 and 3,054.46 is: 4,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.78 : 6,121.86 = 3,054.46 : x
  2. Step 2: Convert to fraction form
    4,093.78/6,121.86 = 3,054.46/x
  3. Step 3: Cross multiply
    4,093.78x = 6,121.86 × 3,054.46
  4. Step 4: Simplify right side
    4,093.78x = 18,698,976.50
  5. Step 5: Solve for x
    x = 18,698,976.50/4,093.78
  6. Step 6: Final answer
    x = 4,567.66

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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.