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Finding the Fourth Proportional to 3,664.57, 5,497.50 and 2,185.03

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Solution

The fourth proportional to 3,664.57, 5,497.50 and 2,185.03 is: 3,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.57 : 5,497.50 = 2,185.03 : x
  2. Step 2: Convert to fraction form
    3,664.57/5,497.50 = 2,185.03/x
  3. Step 3: Cross multiply
    3,664.57x = 5,497.50 × 2,185.03
  4. Step 4: Simplify right side
    3,664.57x = 12,012,202.43
  5. Step 5: Solve for x
    x = 12,012,202.43/3,664.57
  6. Step 6: Final answer
    x = 3,277.93

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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.