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Finding the Fourth Proportional to 4,461.65, 6,689.78 and 1,996.01

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Solution

The fourth proportional to 4,461.65, 6,689.78 and 1,996.01 is: 2,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.65 : 6,689.78 = 1,996.01 : x
  2. Step 2: Convert to fraction form
    4,461.65/6,689.78 = 1,996.01/x
  3. Step 3: Cross multiply
    4,461.65x = 6,689.78 × 1,996.01
  4. Step 4: Simplify right side
    4,461.65x = 13,352,857.80
  5. Step 5: Solve for x
    x = 13,352,857.80/4,461.65
  6. Step 6: Final answer
    x = 2,992.81

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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.