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Finding the Fourth Proportional to 3,842.78, 5,765.10 and 1,343.60

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Solution

The fourth proportional to 3,842.78, 5,765.10 and 1,343.60 is: 2,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.78 : 5,765.10 = 1,343.60 : x
  2. Step 2: Convert to fraction form
    3,842.78/5,765.10 = 1,343.60/x
  3. Step 3: Cross multiply
    3,842.78x = 5,765.10 × 1,343.60
  4. Step 4: Simplify right side
    3,842.78x = 7,745,988.00
  5. Step 5: Solve for x
    x = 7,745,988.00/3,842.78
  6. Step 6: Final answer
    x = 2,015.73

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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.