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Finding the Fourth Proportional to 4,094.97, 6,139.89 and 1,900.89

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Solution

The fourth proportional to 4,094.97, 6,139.89 and 1,900.89 is: 2,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.97 : 6,139.89 = 1,900.89 : x
  2. Step 2: Convert to fraction form
    4,094.97/6,139.89 = 1,900.89/x
  3. Step 3: Cross multiply
    4,094.97x = 6,139.89 × 1,900.89
  4. Step 4: Simplify right side
    4,094.97x = 11,671,255.50
  5. Step 5: Solve for x
    x = 11,671,255.50/4,094.97
  6. Step 6: Final answer
    x = 2,850.14

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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.