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Finding the Fourth Proportional to 4,540.92, 6,802.20 and 4,162.92

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Solution

The fourth proportional to 4,540.92, 6,802.20 and 4,162.92 is: 6,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.92 : 6,802.20 = 4,162.92 : x
  2. Step 2: Convert to fraction form
    4,540.92/6,802.20 = 4,162.92/x
  3. Step 3: Cross multiply
    4,540.92x = 6,802.20 × 4,162.92
  4. Step 4: Simplify right side
    4,540.92x = 28,317,014.42
  5. Step 5: Solve for x
    x = 28,317,014.42/4,540.92
  6. Step 6: Final answer
    x = 6,235.96

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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.