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Finding the Fourth Proportional to 5,491.96, 8,238.22 and 1,596.68

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Solution

The fourth proportional to 5,491.96, 8,238.22 and 1,596.68 is: 2,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.96 : 8,238.22 = 1,596.68 : x
  2. Step 2: Convert to fraction form
    5,491.96/8,238.22 = 1,596.68/x
  3. Step 3: Cross multiply
    5,491.96x = 8,238.22 × 1,596.68
  4. Step 4: Simplify right side
    5,491.96x = 13,153,801.11
  5. Step 5: Solve for x
    x = 13,153,801.11/5,491.96
  6. Step 6: Final answer
    x = 2,395.10

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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.