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Finding the Fourth Proportional to 3,851.42, 5,777.99 and 1,219.08

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Solution

The fourth proportional to 3,851.42, 5,777.99 and 1,219.08 is: 1,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.42 : 5,777.99 = 1,219.08 : x
  2. Step 2: Convert to fraction form
    3,851.42/5,777.99 = 1,219.08/x
  3. Step 3: Cross multiply
    3,851.42x = 5,777.99 × 1,219.08
  4. Step 4: Simplify right side
    3,851.42x = 7,043,835.10
  5. Step 5: Solve for x
    x = 7,043,835.10/3,851.42
  6. Step 6: Final answer
    x = 1,828.90

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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.