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Finding the Fourth Proportional to 3,853.12, 5,777.13 and 1,980.19

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Solution

The fourth proportional to 3,853.12, 5,777.13 and 1,980.19 is: 2,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.12 : 5,777.13 = 1,980.19 : x
  2. Step 2: Convert to fraction form
    3,853.12/5,777.13 = 1,980.19/x
  3. Step 3: Cross multiply
    3,853.12x = 5,777.13 × 1,980.19
  4. Step 4: Simplify right side
    3,853.12x = 11,439,815.05
  5. Step 5: Solve for x
    x = 11,439,815.05/3,853.12
  6. Step 6: Final answer
    x = 2,968.97

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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.