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Finding the Fourth Proportional to 4,858.50, 6,704.74 and 2,650.50

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Solution

The fourth proportional to 4,858.50, 6,704.74 and 2,650.50 is: 3,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.50 : 6,704.74 = 2,650.50 : x
  2. Step 2: Convert to fraction form
    4,858.50/6,704.74 = 2,650.50/x
  3. Step 3: Cross multiply
    4,858.50x = 6,704.74 × 2,650.50
  4. Step 4: Simplify right side
    4,858.50x = 17,770,913.37
  5. Step 5: Solve for x
    x = 17,770,913.37/4,858.50
  6. Step 6: Final answer
    x = 3,657.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.