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Finding the Fourth Proportional to 5,261.80, 7,256.10 and 4,082.44

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Solution

The fourth proportional to 5,261.80, 7,256.10 and 4,082.44 is: 5,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.80 : 7,256.10 = 4,082.44 : x
  2. Step 2: Convert to fraction form
    5,261.80/7,256.10 = 4,082.44/x
  3. Step 3: Cross multiply
    5,261.80x = 7,256.10 × 4,082.44
  4. Step 4: Simplify right side
    5,261.80x = 29,622,592.88
  5. Step 5: Solve for x
    x = 29,622,592.88/5,261.80
  6. Step 6: Final answer
    x = 5,629.75

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