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Finding the Fourth Proportional to 3,754.50, 5,181.21 and 2,652.42

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Solution

The fourth proportional to 3,754.50, 5,181.21 and 2,652.42 is: 3,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.50 : 5,181.21 = 2,652.42 : x
  2. Step 2: Convert to fraction form
    3,754.50/5,181.21 = 2,652.42/x
  3. Step 3: Cross multiply
    3,754.50x = 5,181.21 × 2,652.42
  4. Step 4: Simplify right side
    3,754.50x = 13,742,745.03
  5. Step 5: Solve for x
    x = 13,742,745.03/3,754.50
  6. Step 6: Final answer
    x = 3,660.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.