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Finding the Fourth Proportional to 3,667.64, 5,052.92 and 2,710.82

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Solution

The fourth proportional to 3,667.64, 5,052.92 and 2,710.82 is: 3,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.64 : 5,052.92 = 2,710.82 : x
  2. Step 2: Convert to fraction form
    3,667.64/5,052.92 = 2,710.82/x
  3. Step 3: Cross multiply
    3,667.64x = 5,052.92 × 2,710.82
  4. Step 4: Simplify right side
    3,667.64x = 13,697,517.78
  5. Step 5: Solve for x
    x = 13,697,517.78/3,667.64
  6. Step 6: Final answer
    x = 3,734.70

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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.