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Finding the Fourth Proportional to 4,367.78, 6,546.10 and 1,901.94

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Solution

The fourth proportional to 4,367.78, 6,546.10 and 1,901.94 is: 2,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.78 : 6,546.10 = 1,901.94 : x
  2. Step 2: Convert to fraction form
    4,367.78/6,546.10 = 1,901.94/x
  3. Step 3: Cross multiply
    4,367.78x = 6,546.10 × 1,901.94
  4. Step 4: Simplify right side
    4,367.78x = 12,450,289.43
  5. Step 5: Solve for x
    x = 12,450,289.43/4,367.78
  6. Step 6: Final answer
    x = 2,850.48

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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.