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Finding the Fourth Proportional to 3,850.14, 5,775.99 and 1,253.28

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Solution

The fourth proportional to 3,850.14, 5,775.99 and 1,253.28 is: 1,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.14 : 5,775.99 = 1,253.28 : x
  2. Step 2: Convert to fraction form
    3,850.14/5,775.99 = 1,253.28/x
  3. Step 3: Cross multiply
    3,850.14x = 5,775.99 × 1,253.28
  4. Step 4: Simplify right side
    3,850.14x = 7,238,932.75
  5. Step 5: Solve for x
    x = 7,238,932.75/3,850.14
  6. Step 6: Final answer
    x = 1,880.17

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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.