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Finding the Fourth Proportional to 3,557.38, 5,336.07 and 1,609.54

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Solution

The fourth proportional to 3,557.38, 5,336.07 and 1,609.54 is: 2,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.38 : 5,336.07 = 1,609.54 : x
  2. Step 2: Convert to fraction form
    3,557.38/5,336.07 = 1,609.54/x
  3. Step 3: Cross multiply
    3,557.38x = 5,336.07 × 1,609.54
  4. Step 4: Simplify right side
    3,557.38x = 8,588,618.11
  5. Step 5: Solve for x
    x = 8,588,618.11/3,557.38
  6. Step 6: Final answer
    x = 2,414.31

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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.