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Finding the Fourth Proportional to 3,847.96, 5,771.14 and 1,349.48

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Solution

The fourth proportional to 3,847.96, 5,771.14 and 1,349.48 is: 2,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.96 : 5,771.14 = 1,349.48 : x
  2. Step 2: Convert to fraction form
    3,847.96/5,771.14 = 1,349.48/x
  3. Step 3: Cross multiply
    3,847.96x = 5,771.14 × 1,349.48
  4. Step 4: Simplify right side
    3,847.96x = 7,788,038.01
  5. Step 5: Solve for x
    x = 7,788,038.01/3,847.96
  6. Step 6: Final answer
    x = 2,023.94

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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.