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Finding the Fourth Proportional to 3,668.72, 5,503.26 and 1,202.54

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Solution

The fourth proportional to 3,668.72, 5,503.26 and 1,202.54 is: 1,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.72 : 5,503.26 = 1,202.54 : x
  2. Step 2: Convert to fraction form
    3,668.72/5,503.26 = 1,202.54/x
  3. Step 3: Cross multiply
    3,668.72x = 5,503.26 × 1,202.54
  4. Step 4: Simplify right side
    3,668.72x = 6,617,890.28
  5. Step 5: Solve for x
    x = 6,617,890.28/3,668.72
  6. Step 6: Final answer
    x = 1,803.87

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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.