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Finding the Fourth Proportional to 3,667.86, 5,502.17 and 1,202.11

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Solution

The fourth proportional to 3,667.86, 5,502.17 and 1,202.11 is: 1,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.86 : 5,502.17 = 1,202.11 : x
  2. Step 2: Convert to fraction form
    3,667.86/5,502.17 = 1,202.11/x
  3. Step 3: Cross multiply
    3,667.86x = 5,502.17 × 1,202.11
  4. Step 4: Simplify right side
    3,667.86x = 6,614,202.83
  5. Step 5: Solve for x
    x = 6,614,202.83/3,667.86
  6. Step 6: Final answer
    x = 1,803.29

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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.