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Finding the Fourth Proportional to 3,922.02, 5,873.88 and 1,969.50

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Solution

The fourth proportional to 3,922.02, 5,873.88 and 1,969.50 is: 2,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.02 : 5,873.88 = 1,969.50 : x
  2. Step 2: Convert to fraction form
    3,922.02/5,873.88 = 1,969.50/x
  3. Step 3: Cross multiply
    3,922.02x = 5,873.88 × 1,969.50
  4. Step 4: Simplify right side
    3,922.02x = 11,568,606.66
  5. Step 5: Solve for x
    x = 11,568,606.66/3,922.02
  6. Step 6: Final answer
    x = 2,949.66

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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.