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Finding the Fourth Proportional to 3,830.67, 5,747.03 and 2,075.26

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Solution

The fourth proportional to 3,830.67, 5,747.03 and 2,075.26 is: 3,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.67 : 5,747.03 = 2,075.26 : x
  2. Step 2: Convert to fraction form
    3,830.67/5,747.03 = 2,075.26/x
  3. Step 3: Cross multiply
    3,830.67x = 5,747.03 × 2,075.26
  4. Step 4: Simplify right side
    3,830.67x = 11,926,561.37
  5. Step 5: Solve for x
    x = 11,926,561.37/3,830.67
  6. Step 6: Final answer
    x = 3,113.44

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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.