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Finding the Fourth Proportional to 5,424.90, 8,128.44 and 5,222.63

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Solution

The fourth proportional to 5,424.90, 8,128.44 and 5,222.63 is: 7,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.90 : 8,128.44 = 5,222.63 : x
  2. Step 2: Convert to fraction form
    5,424.90/8,128.44 = 5,222.63/x
  3. Step 3: Cross multiply
    5,424.90x = 8,128.44 × 5,222.63
  4. Step 4: Simplify right side
    5,424.90x = 42,451,793.96
  5. Step 5: Solve for x
    x = 42,451,793.96/5,424.90
  6. Step 6: Final answer
    x = 7,825.36

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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.