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Finding the Fourth Proportional to 3,668.08, 5,498.56 and 1,201.20

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Solution

The fourth proportional to 3,668.08, 5,498.56 and 1,201.20 is: 1,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.08 : 5,498.56 = 1,201.20 : x
  2. Step 2: Convert to fraction form
    3,668.08/5,498.56 = 1,201.20/x
  3. Step 3: Cross multiply
    3,668.08x = 5,498.56 × 1,201.20
  4. Step 4: Simplify right side
    3,668.08x = 6,604,870.27
  5. Step 5: Solve for x
    x = 6,604,870.27/3,668.08
  6. Step 6: Final answer
    x = 1,800.63

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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.