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Finding the Fourth Proportional to 3,668.08, 5,502.06 and 1,202.92

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Solution

The fourth proportional to 3,668.08, 5,502.06 and 1,202.92 is: 1,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.08 : 5,502.06 = 1,202.92 : x
  2. Step 2: Convert to fraction form
    3,668.08/5,502.06 = 1,202.92/x
  3. Step 3: Cross multiply
    3,668.08x = 5,502.06 × 1,202.92
  4. Step 4: Simplify right side
    3,668.08x = 6,618,538.02
  5. Step 5: Solve for x
    x = 6,618,538.02/3,668.08
  6. Step 6: Final answer
    x = 1,804.36

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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.