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Finding the Fourth Proportional to 3,667.06, 5,499.06 and 1,201.24

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Solution

The fourth proportional to 3,667.06, 5,499.06 and 1,201.24 is: 1,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.06 : 5,499.06 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    3,667.06/5,499.06 = 1,201.24/x
  3. Step 3: Cross multiply
    3,667.06x = 5,499.06 × 1,201.24
  4. Step 4: Simplify right side
    3,667.06x = 6,605,690.83
  5. Step 5: Solve for x
    x = 6,605,690.83/3,667.06
  6. Step 6: Final answer
    x = 1,801.36

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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.