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Finding the Fourth Proportional to 3,668.78, 5,503.44 and 1,203.38

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Solution

The fourth proportional to 3,668.78, 5,503.44 and 1,203.38 is: 1,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.78 : 5,503.44 = 1,203.38 : x
  2. Step 2: Convert to fraction form
    3,668.78/5,503.44 = 1,203.38/x
  3. Step 3: Cross multiply
    3,668.78x = 5,503.44 × 1,203.38
  4. Step 4: Simplify right side
    3,668.78x = 6,622,729.63
  5. Step 5: Solve for x
    x = 6,622,729.63/3,668.78
  6. Step 6: Final answer
    x = 1,805.16

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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.