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Finding the Fourth Proportional to 4,446.33, 6,668.07 and 1,813.83

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Solution

The fourth proportional to 4,446.33, 6,668.07 and 1,813.83 is: 2,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.33 : 6,668.07 = 1,813.83 : x
  2. Step 2: Convert to fraction form
    4,446.33/6,668.07 = 1,813.83/x
  3. Step 3: Cross multiply
    4,446.33x = 6,668.07 × 1,813.83
  4. Step 4: Simplify right side
    4,446.33x = 12,094,745.41
  5. Step 5: Solve for x
    x = 12,094,745.41/4,446.33
  6. Step 6: Final answer
    x = 2,720.16

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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.