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Finding the Fourth Proportional to 3,850.53, 5,771.31 and 1,770.75

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Solution

The fourth proportional to 3,850.53, 5,771.31 and 1,770.75 is: 2,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.53 : 5,771.31 = 1,770.75 : x
  2. Step 2: Convert to fraction form
    3,850.53/5,771.31 = 1,770.75/x
  3. Step 3: Cross multiply
    3,850.53x = 5,771.31 × 1,770.75
  4. Step 4: Simplify right side
    3,850.53x = 10,219,547.18
  5. Step 5: Solve for x
    x = 10,219,547.18/3,850.53
  6. Step 6: Final answer
    x = 2,654.06

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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.