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Finding the Fourth Proportional to 5,491.44, 8,238.36 and 1,596.20

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Solution

The fourth proportional to 5,491.44, 8,238.36 and 1,596.20 is: 2,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.44 : 8,238.36 = 1,596.20 : x
  2. Step 2: Convert to fraction form
    5,491.44/8,238.36 = 1,596.20/x
  3. Step 3: Cross multiply
    5,491.44x = 8,238.36 × 1,596.20
  4. Step 4: Simplify right side
    5,491.44x = 13,150,070.23
  5. Step 5: Solve for x
    x = 13,150,070.23/5,491.44
  6. Step 6: Final answer
    x = 2,394.65

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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.