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Finding the Fourth Proportional to 3,676.49, 5,520.86 and 2,009.64

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Solution

The fourth proportional to 3,676.49, 5,520.86 and 2,009.64 is: 3,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.49 : 5,520.86 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    3,676.49/5,520.86 = 2,009.64/x
  3. Step 3: Cross multiply
    3,676.49x = 5,520.86 × 2,009.64
  4. Step 4: Simplify right side
    3,676.49x = 11,094,959.28
  5. Step 5: Solve for x
    x = 11,094,959.28/3,676.49
  6. Step 6: Final answer
    x = 3,017.81

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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.