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Finding the Fourth Proportional to 3,850.63, 5,776.65 and 1,218.80

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Solution

The fourth proportional to 3,850.63, 5,776.65 and 1,218.80 is: 1,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.63 : 5,776.65 = 1,218.80 : x
  2. Step 2: Convert to fraction form
    3,850.63/5,776.65 = 1,218.80/x
  3. Step 3: Cross multiply
    3,850.63x = 5,776.65 × 1,218.80
  4. Step 4: Simplify right side
    3,850.63x = 7,040,552.14
  5. Step 5: Solve for x
    x = 7,040,552.14/3,850.63
  6. Step 6: Final answer
    x = 1,828.42

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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.