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Finding the Fourth Proportional to 3,475.75, 4,796.55 and 2,233.75

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Solution

The fourth proportional to 3,475.75, 4,796.55 and 2,233.75 is: 3,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.75 : 4,796.55 = 2,233.75 : x
  2. Step 2: Convert to fraction form
    3,475.75/4,796.55 = 2,233.75/x
  3. Step 3: Cross multiply
    3,475.75x = 4,796.55 × 2,233.75
  4. Step 4: Simplify right side
    3,475.75x = 10,714,293.56
  5. Step 5: Solve for x
    x = 10,714,293.56/3,475.75
  6. Step 6: Final answer
    x = 3,082.58

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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.