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Finding the Fourth Proportional to 3,980.49, 5,970.73 and 1,383.42

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Solution

The fourth proportional to 3,980.49, 5,970.73 and 1,383.42 is: 2,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.49 : 5,970.73 = 1,383.42 : x
  2. Step 2: Convert to fraction form
    3,980.49/5,970.73 = 1,383.42/x
  3. Step 3: Cross multiply
    3,980.49x = 5,970.73 × 1,383.42
  4. Step 4: Simplify right side
    3,980.49x = 8,260,027.30
  5. Step 5: Solve for x
    x = 8,260,027.30/3,980.49
  6. Step 6: Final answer
    x = 2,075.13

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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.