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Finding the Fourth Proportional to 3,676.65, 5,513.25 and 1,336.35

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Solution

The fourth proportional to 3,676.65, 5,513.25 and 1,336.35 is: 2,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.65 : 5,513.25 = 1,336.35 : x
  2. Step 2: Convert to fraction form
    3,676.65/5,513.25 = 1,336.35/x
  3. Step 3: Cross multiply
    3,676.65x = 5,513.25 × 1,336.35
  4. Step 4: Simplify right side
    3,676.65x = 7,367,631.64
  5. Step 5: Solve for x
    x = 7,367,631.64/3,676.65
  6. Step 6: Final answer
    x = 2,003.90

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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.