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Finding the Fourth Proportional to 3,846.90, 5,770.34 and 1,214.60

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Solution

The fourth proportional to 3,846.90, 5,770.34 and 1,214.60 is: 1,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.90 : 5,770.34 = 1,214.60 : x
  2. Step 2: Convert to fraction form
    3,846.90/5,770.34 = 1,214.60/x
  3. Step 3: Cross multiply
    3,846.90x = 5,770.34 × 1,214.60
  4. Step 4: Simplify right side
    3,846.90x = 7,008,673.28
  5. Step 5: Solve for x
    x = 7,008,673.28/3,846.90
  6. Step 6: Final answer
    x = 1,821.90

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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.