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Finding the Fourth Proportional to 4,406.62, 6,609.52 and 1,633.32

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Solution

The fourth proportional to 4,406.62, 6,609.52 and 1,633.32 is: 2,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.62 : 6,609.52 = 1,633.32 : x
  2. Step 2: Convert to fraction form
    4,406.62/6,609.52 = 1,633.32/x
  3. Step 3: Cross multiply
    4,406.62x = 6,609.52 × 1,633.32
  4. Step 4: Simplify right side
    4,406.62x = 10,795,461.21
  5. Step 5: Solve for x
    x = 10,795,461.21/4,406.62
  6. Step 6: Final answer
    x = 2,449.83

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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.