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Finding the Fourth Proportional to 4,091.58, 6,137.46 and 1,900.13

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Solution

The fourth proportional to 4,091.58, 6,137.46 and 1,900.13 is: 2,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.58 : 6,137.46 = 1,900.13 : x
  2. Step 2: Convert to fraction form
    4,091.58/6,137.46 = 1,900.13/x
  3. Step 3: Cross multiply
    4,091.58x = 6,137.46 × 1,900.13
  4. Step 4: Simplify right side
    4,091.58x = 11,661,941.18
  5. Step 5: Solve for x
    x = 11,661,941.18/4,091.58
  6. Step 6: Final answer
    x = 2,850.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.