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Finding the Fourth Proportional to 3,982.64, 5,973.97 and 1,209.33

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Solution

The fourth proportional to 3,982.64, 5,973.97 and 1,209.33 is: 1,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.64 : 5,973.97 = 1,209.33 : x
  2. Step 2: Convert to fraction form
    3,982.64/5,973.97 = 1,209.33/x
  3. Step 3: Cross multiply
    3,982.64x = 5,973.97 × 1,209.33
  4. Step 4: Simplify right side
    3,982.64x = 7,224,498.12
  5. Step 5: Solve for x
    x = 7,224,498.12/3,982.64
  6. Step 6: Final answer
    x = 1,814.00

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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.