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Finding the Fourth Proportional to 5,107.75, 7,661.16 and 2,644.64

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Solution

The fourth proportional to 5,107.75, 7,661.16 and 2,644.64 is: 3,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.75 : 7,661.16 = 2,644.64 : x
  2. Step 2: Convert to fraction form
    5,107.75/7,661.16 = 2,644.64/x
  3. Step 3: Cross multiply
    5,107.75x = 7,661.16 × 2,644.64
  4. Step 4: Simplify right side
    5,107.75x = 20,261,010.18
  5. Step 5: Solve for x
    x = 20,261,010.18/5,107.75
  6. Step 6: Final answer
    x = 3,966.72

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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.