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Finding the Fourth Proportional to 3,667.74, 5,502.24 and 1,201.86

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Solution

The fourth proportional to 3,667.74, 5,502.24 and 1,201.86 is: 1,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.74 : 5,502.24 = 1,201.86 : x
  2. Step 2: Convert to fraction form
    3,667.74/5,502.24 = 1,201.86/x
  3. Step 3: Cross multiply
    3,667.74x = 5,502.24 × 1,201.86
  4. Step 4: Simplify right side
    3,667.74x = 6,612,922.17
  5. Step 5: Solve for x
    x = 6,612,922.17/3,667.74
  6. Step 6: Final answer
    x = 1,803.00

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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.