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Finding the Fourth Proportional to 3,559.42, 5,339.96 and 1,219.44

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Solution

The fourth proportional to 3,559.42, 5,339.96 and 1,219.44 is: 1,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.42 : 5,339.96 = 1,219.44 : x
  2. Step 2: Convert to fraction form
    3,559.42/5,339.96 = 1,219.44/x
  3. Step 3: Cross multiply
    3,559.42x = 5,339.96 × 1,219.44
  4. Step 4: Simplify right side
    3,559.42x = 6,511,760.82
  5. Step 5: Solve for x
    x = 6,511,760.82/3,559.42
  6. Step 6: Final answer
    x = 1,829.44

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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.