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Finding the Fourth Proportional to 3,213.82, 4,814.08 and 2,980.26

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Solution

The fourth proportional to 3,213.82, 4,814.08 and 2,980.26 is: 4,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.82 : 4,814.08 = 2,980.26 : x
  2. Step 2: Convert to fraction form
    3,213.82/4,814.08 = 2,980.26/x
  3. Step 3: Cross multiply
    3,213.82x = 4,814.08 × 2,980.26
  4. Step 4: Simplify right side
    3,213.82x = 14,347,210.06
  5. Step 5: Solve for x
    x = 14,347,210.06/3,213.82
  6. Step 6: Final answer
    x = 4,464.22

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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.