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Finding the Fourth Proportional to 5,491.76, 8,237.62 and 1,596.26

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Solution

The fourth proportional to 5,491.76, 8,237.62 and 1,596.26 is: 2,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.76 : 8,237.62 = 1,596.26 : x
  2. Step 2: Convert to fraction form
    5,491.76/8,237.62 = 1,596.26/x
  3. Step 3: Cross multiply
    5,491.76x = 8,237.62 × 1,596.26
  4. Step 4: Simplify right side
    5,491.76x = 13,149,383.30
  5. Step 5: Solve for x
    x = 13,149,383.30/5,491.76
  6. Step 6: Final answer
    x = 2,394.38

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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.