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Finding the Fourth Proportional to 3,693.35, 5,540.87 and 1,228.11

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Solution

The fourth proportional to 3,693.35, 5,540.87 and 1,228.11 is: 1,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.35 : 5,540.87 = 1,228.11 : x
  2. Step 2: Convert to fraction form
    3,693.35/5,540.87 = 1,228.11/x
  3. Step 3: Cross multiply
    3,693.35x = 5,540.87 × 1,228.11
  4. Step 4: Simplify right side
    3,693.35x = 6,804,791.72
  5. Step 5: Solve for x
    x = 6,804,791.72/3,693.35
  6. Step 6: Final answer
    x = 1,842.45

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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.