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Finding the Fourth Proportional to 3,693.30, 5,540.88 and 1,228.80

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Solution

The fourth proportional to 3,693.30, 5,540.88 and 1,228.80 is: 1,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.30 : 5,540.88 = 1,228.80 : x
  2. Step 2: Convert to fraction form
    3,693.30/5,540.88 = 1,228.80/x
  3. Step 3: Cross multiply
    3,693.30x = 5,540.88 × 1,228.80
  4. Step 4: Simplify right side
    3,693.30x = 6,808,633.34
  5. Step 5: Solve for x
    x = 6,808,633.34/3,693.30
  6. Step 6: Final answer
    x = 1,843.51

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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.