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Finding the Fourth Proportional to 4,049.54, 6,075.22 and 1,238.62

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Solution

The fourth proportional to 4,049.54, 6,075.22 and 1,238.62 is: 1,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.54 : 6,075.22 = 1,238.62 : x
  2. Step 2: Convert to fraction form
    4,049.54/6,075.22 = 1,238.62/x
  3. Step 3: Cross multiply
    4,049.54x = 6,075.22 × 1,238.62
  4. Step 4: Simplify right side
    4,049.54x = 7,524,889.00
  5. Step 5: Solve for x
    x = 7,524,889.00/4,049.54
  6. Step 6: Final answer
    x = 1,858.21

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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.