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Finding the Fourth Proportional to 3,689.44, 5,091.96 and 2,364.64

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Solution

The fourth proportional to 3,689.44, 5,091.96 and 2,364.64 is: 3,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.44 : 5,091.96 = 2,364.64 : x
  2. Step 2: Convert to fraction form
    3,689.44/5,091.96 = 2,364.64/x
  3. Step 3: Cross multiply
    3,689.44x = 5,091.96 × 2,364.64
  4. Step 4: Simplify right side
    3,689.44x = 12,040,652.29
  5. Step 5: Solve for x
    x = 12,040,652.29/3,689.44
  6. Step 6: Final answer
    x = 3,263.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.