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Finding the Fourth Proportional to 3,850.29, 5,775.71 and 1,253.30

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Solution

The fourth proportional to 3,850.29, 5,775.71 and 1,253.30 is: 1,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.29 : 5,775.71 = 1,253.30 : x
  2. Step 2: Convert to fraction form
    3,850.29/5,775.71 = 1,253.30/x
  3. Step 3: Cross multiply
    3,850.29x = 5,775.71 × 1,253.30
  4. Step 4: Simplify right side
    3,850.29x = 7,238,662.20
  5. Step 5: Solve for x
    x = 7,238,662.20/3,850.29
  6. Step 6: Final answer
    x = 1,880.03

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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.