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Finding the Fourth Proportional to 3,452.77, 4,765.46 and 3,241.77

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Solution

The fourth proportional to 3,452.77, 4,765.46 and 3,241.77 is: 4,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.77 : 4,765.46 = 3,241.77 : x
  2. Step 2: Convert to fraction form
    3,452.77/4,765.46 = 3,241.77/x
  3. Step 3: Cross multiply
    3,452.77x = 4,765.46 × 3,241.77
  4. Step 4: Simplify right side
    3,452.77x = 15,448,525.26
  5. Step 5: Solve for x
    x = 15,448,525.26/3,452.77
  6. Step 6: Final answer
    x = 4,474.24

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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.