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Finding the Fourth Proportional to 3,980.06, 5,970.19 and 3,399.09

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Solution

The fourth proportional to 3,980.06, 5,970.19 and 3,399.09 is: 5,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.06 : 5,970.19 = 3,399.09 : x
  2. Step 2: Convert to fraction form
    3,980.06/5,970.19 = 3,399.09/x
  3. Step 3: Cross multiply
    3,980.06x = 5,970.19 × 3,399.09
  4. Step 4: Simplify right side
    3,980.06x = 20,293,213.13
  5. Step 5: Solve for x
    x = 20,293,213.13/3,980.06
  6. Step 6: Final answer
    x = 5,098.72

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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.