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Finding the Fourth Proportional to 3,676.63, 5,515.89 and 1,596.15

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Solution

The fourth proportional to 3,676.63, 5,515.89 and 1,596.15 is: 2,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.63 : 5,515.89 = 1,596.15 : x
  2. Step 2: Convert to fraction form
    3,676.63/5,515.89 = 1,596.15/x
  3. Step 3: Cross multiply
    3,676.63x = 5,515.89 × 1,596.15
  4. Step 4: Simplify right side
    3,676.63x = 8,804,187.82
  5. Step 5: Solve for x
    x = 8,804,187.82/3,676.63
  6. Step 6: Final answer
    x = 2,394.64

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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.