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Finding the Fourth Proportional to 3,830.05, 5,744.85 and 1,232.77

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Solution

The fourth proportional to 3,830.05, 5,744.85 and 1,232.77 is: 1,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.05 : 5,744.85 = 1,232.77 : x
  2. Step 2: Convert to fraction form
    3,830.05/5,744.85 = 1,232.77/x
  3. Step 3: Cross multiply
    3,830.05x = 5,744.85 × 1,232.77
  4. Step 4: Simplify right side
    3,830.05x = 7,082,078.73
  5. Step 5: Solve for x
    x = 7,082,078.73/3,830.05
  6. Step 6: Final answer
    x = 1,849.08

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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.