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Finding the Fourth Proportional to 5,842.48, 8,766.20 and 3,245.20

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Solution

The fourth proportional to 5,842.48, 8,766.20 and 3,245.20 is: 4,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.48 : 8,766.20 = 3,245.20 : x
  2. Step 2: Convert to fraction form
    5,842.48/8,766.20 = 3,245.20/x
  3. Step 3: Cross multiply
    5,842.48x = 8,766.20 × 3,245.20
  4. Step 4: Simplify right side
    5,842.48x = 28,448,072.24
  5. Step 5: Solve for x
    x = 28,448,072.24/5,842.48
  6. Step 6: Final answer
    x = 4,869.18

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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.