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Finding the Fourth Proportional to 5,424.57, 8,139.90 and 5,383.26

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Solution

The fourth proportional to 5,424.57, 8,139.90 and 5,383.26 is: 8,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.57 : 8,139.90 = 5,383.26 : x
  2. Step 2: Convert to fraction form
    5,424.57/8,139.90 = 5,383.26/x
  3. Step 3: Cross multiply
    5,424.57x = 8,139.90 × 5,383.26
  4. Step 4: Simplify right side
    5,424.57x = 43,819,198.07
  5. Step 5: Solve for x
    x = 43,819,198.07/5,424.57
  6. Step 6: Final answer
    x = 8,077.91

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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.