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Finding the Fourth Proportional to 3,982.42, 5,973.62 and 1,209.10

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Solution

The fourth proportional to 3,982.42, 5,973.62 and 1,209.10 is: 1,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.42 : 5,973.62 = 1,209.10 : x
  2. Step 2: Convert to fraction form
    3,982.42/5,973.62 = 1,209.10/x
  3. Step 3: Cross multiply
    3,982.42x = 5,973.62 × 1,209.10
  4. Step 4: Simplify right side
    3,982.42x = 7,222,721.17
  5. Step 5: Solve for x
    x = 7,222,721.17/3,982.42
  6. Step 6: Final answer
    x = 1,813.65

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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.