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Finding the Fourth Proportional to 3,980.45, 5,977.60 and 3,667.51

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Solution

The fourth proportional to 3,980.45, 5,977.60 and 3,667.51 is: 5,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.45 : 5,977.60 = 3,667.51 : x
  2. Step 2: Convert to fraction form
    3,980.45/5,977.60 = 3,667.51/x
  3. Step 3: Cross multiply
    3,980.45x = 5,977.60 × 3,667.51
  4. Step 4: Simplify right side
    3,980.45x = 21,922,927.30
  5. Step 5: Solve for x
    x = 21,922,927.30/3,980.45
  6. Step 6: Final answer
    x = 5,507.66

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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.