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Finding the Fourth Proportional to 4,855.26, 7,271.90 and 3,980.46

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Solution

The fourth proportional to 4,855.26, 7,271.90 and 3,980.46 is: 5,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.26 : 7,271.90 = 3,980.46 : x
  2. Step 2: Convert to fraction form
    4,855.26/7,271.90 = 3,980.46/x
  3. Step 3: Cross multiply
    4,855.26x = 7,271.90 × 3,980.46
  4. Step 4: Simplify right side
    4,855.26x = 28,945,507.07
  5. Step 5: Solve for x
    x = 28,945,507.07/4,855.26
  6. Step 6: Final answer
    x = 5,961.68

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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.