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Finding the Fourth Proportional to 5,425.22, 8,137.83 and 5,148.20

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Solution

The fourth proportional to 5,425.22, 8,137.83 and 5,148.20 is: 7,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.22 : 8,137.83 = 5,148.20 : x
  2. Step 2: Convert to fraction form
    5,425.22/8,137.83 = 5,148.20/x
  3. Step 3: Cross multiply
    5,425.22x = 8,137.83 × 5,148.20
  4. Step 4: Simplify right side
    5,425.22x = 41,895,176.41
  5. Step 5: Solve for x
    x = 41,895,176.41/5,425.22
  6. Step 6: Final answer
    x = 7,722.30

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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.