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Finding the Fourth Proportional to 3,851.37, 5,776.41 and 1,385.73

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Solution

The fourth proportional to 3,851.37, 5,776.41 and 1,385.73 is: 2,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.37 : 5,776.41 = 1,385.73 : x
  2. Step 2: Convert to fraction form
    3,851.37/5,776.41 = 1,385.73/x
  3. Step 3: Cross multiply
    3,851.37x = 5,776.41 × 1,385.73
  4. Step 4: Simplify right side
    3,851.37x = 8,004,544.63
  5. Step 5: Solve for x
    x = 8,004,544.63/3,851.37
  6. Step 6: Final answer
    x = 2,078.36

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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.