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Finding the Fourth Proportional to 5,754.21, 7,941.09 and 3,237.11

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Solution

The fourth proportional to 5,754.21, 7,941.09 and 3,237.11 is: 4,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.21 : 7,941.09 = 3,237.11 : x
  2. Step 2: Convert to fraction form
    5,754.21/7,941.09 = 3,237.11/x
  3. Step 3: Cross multiply
    5,754.21x = 7,941.09 × 3,237.11
  4. Step 4: Simplify right side
    5,754.21x = 25,706,181.85
  5. Step 5: Solve for x
    x = 25,706,181.85/5,754.21
  6. Step 6: Final answer
    x = 4,467.37

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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.