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Finding the Fourth Proportional to 5,407.44, 8,111.16 and 1,900.20

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Solution

The fourth proportional to 5,407.44, 8,111.16 and 1,900.20 is: 2,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.44 : 8,111.16 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    5,407.44/8,111.16 = 1,900.20/x
  3. Step 3: Cross multiply
    5,407.44x = 8,111.16 × 1,900.20
  4. Step 4: Simplify right side
    5,407.44x = 15,412,826.23
  5. Step 5: Solve for x
    x = 15,412,826.23/5,407.44
  6. Step 6: Final answer
    x = 2,850.30

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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.