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Finding the Fourth Proportional to 3,667.68, 5,501.20 and 1,202.44

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Solution

The fourth proportional to 3,667.68, 5,501.20 and 1,202.44 is: 1,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.68 : 5,501.20 = 1,202.44 : x
  2. Step 2: Convert to fraction form
    3,667.68/5,501.20 = 1,202.44/x
  3. Step 3: Cross multiply
    3,667.68x = 5,501.20 × 1,202.44
  4. Step 4: Simplify right side
    3,667.68x = 6,614,862.93
  5. Step 5: Solve for x
    x = 6,614,862.93/3,667.68
  6. Step 6: Final answer
    x = 1,803.56

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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.