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Finding the Fourth Proportional to 3,667.82, 5,497.11 and 1,475.33

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Solution

The fourth proportional to 3,667.82, 5,497.11 and 1,475.33 is: 2,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.82 : 5,497.11 = 1,475.33 : x
  2. Step 2: Convert to fraction form
    3,667.82/5,497.11 = 1,475.33/x
  3. Step 3: Cross multiply
    3,667.82x = 5,497.11 × 1,475.33
  4. Step 4: Simplify right side
    3,667.82x = 8,110,023.81
  5. Step 5: Solve for x
    x = 8,110,023.81/3,667.82
  6. Step 6: Final answer
    x = 2,211.13

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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.