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Finding the Fourth Proportional to 3,668.70, 5,503.41 and 1,203.42

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Solution

The fourth proportional to 3,668.70, 5,503.41 and 1,203.42 is: 1,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.70 : 5,503.41 = 1,203.42 : x
  2. Step 2: Convert to fraction form
    3,668.70/5,503.41 = 1,203.42/x
  3. Step 3: Cross multiply
    3,668.70x = 5,503.41 × 1,203.42
  4. Step 4: Simplify right side
    3,668.70x = 6,622,913.66
  5. Step 5: Solve for x
    x = 6,622,913.66/3,668.70
  6. Step 6: Final answer
    x = 1,805.25

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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.