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Finding the Fourth Proportional to 3,667.64, 5,056.09 and 2,617.88

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Solution

The fourth proportional to 3,667.64, 5,056.09 and 2,617.88 is: 3,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.64 : 5,056.09 = 2,617.88 : x
  2. Step 2: Convert to fraction form
    3,667.64/5,056.09 = 2,617.88/x
  3. Step 3: Cross multiply
    3,667.64x = 5,056.09 × 2,617.88
  4. Step 4: Simplify right side
    3,667.64x = 13,236,205.06
  5. Step 5: Solve for x
    x = 13,236,205.06/3,667.64
  6. Step 6: Final answer
    x = 3,608.92

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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.