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Finding the Fourth Proportional to 5,425.26, 8,137.90 and 1,321.26

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Solution

The fourth proportional to 5,425.26, 8,137.90 and 1,321.26 is: 1,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.26 : 8,137.90 = 1,321.26 : x
  2. Step 2: Convert to fraction form
    5,425.26/8,137.90 = 1,321.26/x
  3. Step 3: Cross multiply
    5,425.26x = 8,137.90 × 1,321.26
  4. Step 4: Simplify right side
    5,425.26x = 10,752,281.75
  5. Step 5: Solve for x
    x = 10,752,281.75/5,425.26
  6. Step 6: Final answer
    x = 1,981.89

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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.