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Finding the Fourth Proportional to 3,668.35, 5,501.37 and 1,202.62

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Solution

The fourth proportional to 3,668.35, 5,501.37 and 1,202.62 is: 1,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.35 : 5,501.37 = 1,202.62 : x
  2. Step 2: Convert to fraction form
    3,668.35/5,501.37 = 1,202.62/x
  3. Step 3: Cross multiply
    3,668.35x = 5,501.37 × 1,202.62
  4. Step 4: Simplify right side
    3,668.35x = 6,616,057.59
  5. Step 5: Solve for x
    x = 6,616,057.59/3,668.35
  6. Step 6: Final answer
    x = 1,803.55

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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.