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Finding the Fourth Proportional to 3,654.57, 5,475.70 and 2,012.27

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Solution

The fourth proportional to 3,654.57, 5,475.70 and 2,012.27 is: 3,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.57 : 5,475.70 = 2,012.27 : x
  2. Step 2: Convert to fraction form
    3,654.57/5,475.70 = 2,012.27/x
  3. Step 3: Cross multiply
    3,654.57x = 5,475.70 × 2,012.27
  4. Step 4: Simplify right side
    3,654.57x = 11,018,577.38
  5. Step 5: Solve for x
    x = 11,018,577.38/3,654.57
  6. Step 6: Final answer
    x = 3,015.01

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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.