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Finding the Fourth Proportional to 3,431.58, 5,147.32 and 966.27

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Solution

The fourth proportional to 3,431.58, 5,147.32 and 966.27 is: 1,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.58 : 5,147.32 = 966.27 : x
  2. Step 2: Convert to fraction form
    3,431.58/5,147.32 = 966.27/x
  3. Step 3: Cross multiply
    3,431.58x = 5,147.32 × 966.27
  4. Step 4: Simplify right side
    3,431.58x = 4,973,700.90
  5. Step 5: Solve for x
    x = 4,973,700.90/3,431.58
  6. Step 6: Final answer
    x = 1,449.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.