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Finding the Fourth Proportional to 3,676.30, 5,506.35 and 3,265.90

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Solution

The fourth proportional to 3,676.30, 5,506.35 and 3,265.90 is: 4,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.30 : 5,506.35 = 3,265.90 : x
  2. Step 2: Convert to fraction form
    3,676.30/5,506.35 = 3,265.90/x
  3. Step 3: Cross multiply
    3,676.30x = 5,506.35 × 3,265.90
  4. Step 4: Simplify right side
    3,676.30x = 17,983,188.47
  5. Step 5: Solve for x
    x = 17,983,188.47/3,676.30
  6. Step 6: Final answer
    x = 4,891.65

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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.