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Finding the Fourth Proportional to 4,201.12, 6,303.30 and 1,891

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Solution

The fourth proportional to 4,201.12, 6,303.30 and 1,891 is: 2,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.12 : 6,303.30 = 1,891 : x
  2. Step 2: Convert to fraction form
    4,201.12/6,303.30 = 1,891/x
  3. Step 3: Cross multiply
    4,201.12x = 6,303.30 × 1,891
  4. Step 4: Simplify right side
    4,201.12x = 11,919,540.30
  5. Step 5: Solve for x
    x = 11,919,540.30/4,201.12
  6. Step 6: Final answer
    x = 2,837.23

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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.