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Finding the Fourth Proportional to 3,817.56, 5,715.54 and 2,427.44

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Solution

The fourth proportional to 3,817.56, 5,715.54 and 2,427.44 is: 3,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.56 : 5,715.54 = 2,427.44 : x
  2. Step 2: Convert to fraction form
    3,817.56/5,715.54 = 2,427.44/x
  3. Step 3: Cross multiply
    3,817.56x = 5,715.54 × 2,427.44
  4. Step 4: Simplify right side
    3,817.56x = 13,874,130.42
  5. Step 5: Solve for x
    x = 13,874,130.42/3,817.56
  6. Step 6: Final answer
    x = 3,634.29

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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.