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Finding the Fourth Proportional to 4,114.63, 6,172.83 and 1,922.15

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Solution

The fourth proportional to 4,114.63, 6,172.83 and 1,922.15 is: 2,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.63 : 6,172.83 = 1,922.15 : x
  2. Step 2: Convert to fraction form
    4,114.63/6,172.83 = 1,922.15/x
  3. Step 3: Cross multiply
    4,114.63x = 6,172.83 × 1,922.15
  4. Step 4: Simplify right side
    4,114.63x = 11,865,105.18
  5. Step 5: Solve for x
    x = 11,865,105.18/4,114.63
  6. Step 6: Final answer
    x = 2,883.64

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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.