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Finding the Fourth Proportional to 4,090.86, 6,136.70 and 1,900.22

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Solution

The fourth proportional to 4,090.86, 6,136.70 and 1,900.22 is: 2,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.86 : 6,136.70 = 1,900.22 : x
  2. Step 2: Convert to fraction form
    4,090.86/6,136.70 = 1,900.22/x
  3. Step 3: Cross multiply
    4,090.86x = 6,136.70 × 1,900.22
  4. Step 4: Simplify right side
    4,090.86x = 11,661,039.89
  5. Step 5: Solve for x
    x = 11,661,039.89/4,090.86
  6. Step 6: Final answer
    x = 2,850.51

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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.