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Finding the Fourth Proportional to 4,457.92, 6,687.04 and 1,992.80

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Solution

The fourth proportional to 4,457.92, 6,687.04 and 1,992.80 is: 2,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.92 : 6,687.04 = 1,992.80 : x
  2. Step 2: Convert to fraction form
    4,457.92/6,687.04 = 1,992.80/x
  3. Step 3: Cross multiply
    4,457.92x = 6,687.04 × 1,992.80
  4. Step 4: Simplify right side
    4,457.92x = 13,325,933.31
  5. Step 5: Solve for x
    x = 13,325,933.31/4,457.92
  6. Step 6: Final answer
    x = 2,989.27

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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.