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Finding the Fourth Proportional to 4,537.92, 6,806.12 and 2,072.16

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Solution

The fourth proportional to 4,537.92, 6,806.12 and 2,072.16 is: 3,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.92 : 6,806.12 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    4,537.92/6,806.12 = 2,072.16/x
  3. Step 3: Cross multiply
    4,537.92x = 6,806.12 × 2,072.16
  4. Step 4: Simplify right side
    4,537.92x = 14,103,369.62
  5. Step 5: Solve for x
    x = 14,103,369.62/4,537.92
  6. Step 6: Final answer
    x = 3,107.89

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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.