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Finding the Fourth Proportional to 3,847.60, 5,771.95 and 1,214.21

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Solution

The fourth proportional to 3,847.60, 5,771.95 and 1,214.21 is: 1,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.60 : 5,771.95 = 1,214.21 : x
  2. Step 2: Convert to fraction form
    3,847.60/5,771.95 = 1,214.21/x
  3. Step 3: Cross multiply
    3,847.60x = 5,771.95 × 1,214.21
  4. Step 4: Simplify right side
    3,847.60x = 7,008,327.51
  5. Step 5: Solve for x
    x = 7,008,327.51/3,847.60
  6. Step 6: Final answer
    x = 1,821.48

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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.