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Finding the Fourth Proportional to 4,457.92, 6,684.96 and 1,683.12

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Solution

The fourth proportional to 4,457.92, 6,684.96 and 1,683.12 is: 2,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.92 : 6,684.96 = 1,683.12 : x
  2. Step 2: Convert to fraction form
    4,457.92/6,684.96 = 1,683.12/x
  3. Step 3: Cross multiply
    4,457.92x = 6,684.96 × 1,683.12
  4. Step 4: Simplify right side
    4,457.92x = 11,251,589.88
  5. Step 5: Solve for x
    x = 11,251,589.88/4,457.92
  6. Step 6: Final answer
    x = 2,523.96

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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.