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Finding the Fourth Proportional to 5,504.94, 8,258.82 and 1,609.34

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Solution

The fourth proportional to 5,504.94, 8,258.82 and 1,609.34 is: 2,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.94 : 8,258.82 = 1,609.34 : x
  2. Step 2: Convert to fraction form
    5,504.94/8,258.82 = 1,609.34/x
  3. Step 3: Cross multiply
    5,504.94x = 8,258.82 × 1,609.34
  4. Step 4: Simplify right side
    5,504.94x = 13,291,249.38
  5. Step 5: Solve for x
    x = 13,291,249.38/5,504.94
  6. Step 6: Final answer
    x = 2,414.42

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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.