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Finding the Fourth Proportional to 3,851, 5,777.21 and 1,219.17

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Solution

The fourth proportional to 3,851, 5,777.21 and 1,219.17 is: 1,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851 : 5,777.21 = 1,219.17 : x
  2. Step 2: Convert to fraction form
    3,851/5,777.21 = 1,219.17/x
  3. Step 3: Cross multiply
    3,851x = 5,777.21 × 1,219.17
  4. Step 4: Simplify right side
    3,851x = 7,043,401.12
  5. Step 5: Solve for x
    x = 7,043,401.12/3,851
  6. Step 6: Final answer
    x = 1,828.98

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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.