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Finding the Fourth Proportional to 3,667.67, 5,501.96 and 1,202.74

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Solution

The fourth proportional to 3,667.67, 5,501.96 and 1,202.74 is: 1,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.67 : 5,501.96 = 1,202.74 : x
  2. Step 2: Convert to fraction form
    3,667.67/5,501.96 = 1,202.74/x
  3. Step 3: Cross multiply
    3,667.67x = 5,501.96 × 1,202.74
  4. Step 4: Simplify right side
    3,667.67x = 6,617,427.37
  5. Step 5: Solve for x
    x = 6,617,427.37/3,667.67
  6. Step 6: Final answer
    x = 1,804.26

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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.