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Finding the Fourth Proportional to 4,075.26, 6,112.90 and 997.26

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Solution

The fourth proportional to 4,075.26, 6,112.90 and 997.26 is: 1,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.26 : 6,112.90 = 997.26 : x
  2. Step 2: Convert to fraction form
    4,075.26/6,112.90 = 997.26/x
  3. Step 3: Cross multiply
    4,075.26x = 6,112.90 × 997.26
  4. Step 4: Simplify right side
    4,075.26x = 6,096,150.65
  5. Step 5: Solve for x
    x = 6,096,150.65/4,075.26
  6. Step 6: Final answer
    x = 1,495.89

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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.