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Finding the Fourth Proportional to 3,676.49, 5,512.89 and 1,336.40

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Solution

The fourth proportional to 3,676.49, 5,512.89 and 1,336.40 is: 2,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.49 : 5,512.89 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    3,676.49/5,512.89 = 1,336.40/x
  3. Step 3: Cross multiply
    3,676.49x = 5,512.89 × 1,336.40
  4. Step 4: Simplify right side
    3,676.49x = 7,367,426.20
  5. Step 5: Solve for x
    x = 7,367,426.20/3,676.49
  6. Step 6: Final answer
    x = 2,003.93

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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.