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Finding the Fourth Proportional to 3,668.69, 5,503.59 and 1,202.69

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Solution

The fourth proportional to 3,668.69, 5,503.59 and 1,202.69 is: 1,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.69 : 5,503.59 = 1,202.69 : x
  2. Step 2: Convert to fraction form
    3,668.69/5,503.59 = 1,202.69/x
  3. Step 3: Cross multiply
    3,668.69x = 5,503.59 × 1,202.69
  4. Step 4: Simplify right side
    3,668.69x = 6,619,085.14
  5. Step 5: Solve for x
    x = 6,619,085.14/3,668.69
  6. Step 6: Final answer
    x = 1,804.21

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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.