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Finding the Fourth Proportional to 6,576.57, 9,075.87 and 3,782.07

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Solution

The fourth proportional to 6,576.57, 9,075.87 and 3,782.07 is: 5,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.57 : 9,075.87 = 3,782.07 : x
  2. Step 2: Convert to fraction form
    6,576.57/9,075.87 = 3,782.07/x
  3. Step 3: Cross multiply
    6,576.57x = 9,075.87 × 3,782.07
  4. Step 4: Simplify right side
    6,576.57x = 34,325,575.65
  5. Step 5: Solve for x
    x = 34,325,575.65/6,576.57
  6. Step 6: Final answer
    x = 5,219.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.