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Finding the Fourth Proportional to 3,676.41, 5,514.57 and 1,336.32

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Solution

The fourth proportional to 3,676.41, 5,514.57 and 1,336.32 is: 2,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.41 : 5,514.57 = 1,336.32 : x
  2. Step 2: Convert to fraction form
    3,676.41/5,514.57 = 1,336.32/x
  3. Step 3: Cross multiply
    3,676.41x = 5,514.57 × 1,336.32
  4. Step 4: Simplify right side
    3,676.41x = 7,369,230.18
  5. Step 5: Solve for x
    x = 7,369,230.18/3,676.41
  6. Step 6: Final answer
    x = 2,004.46

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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.