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Finding the Fourth Proportional to 3,667.50, 5,501.10 and 1,327.56

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Solution

The fourth proportional to 3,667.50, 5,501.10 and 1,327.56 is: 1,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.50 : 5,501.10 = 1,327.56 : x
  2. Step 2: Convert to fraction form
    3,667.50/5,501.10 = 1,327.56/x
  3. Step 3: Cross multiply
    3,667.50x = 5,501.10 × 1,327.56
  4. Step 4: Simplify right side
    3,667.50x = 7,303,040.32
  5. Step 5: Solve for x
    x = 7,303,040.32/3,667.50
  6. Step 6: Final answer
    x = 1,991.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.