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Finding the Fourth Proportional to 3,850.09, 5,771.63 and 1,384.31

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Solution

The fourth proportional to 3,850.09, 5,771.63 and 1,384.31 is: 2,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.09 : 5,771.63 = 1,384.31 : x
  2. Step 2: Convert to fraction form
    3,850.09/5,771.63 = 1,384.31/x
  3. Step 3: Cross multiply
    3,850.09x = 5,771.63 × 1,384.31
  4. Step 4: Simplify right side
    3,850.09x = 7,989,743.02
  5. Step 5: Solve for x
    x = 7,989,743.02/3,850.09
  6. Step 6: Final answer
    x = 2,075.21

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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.