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Finding the Fourth Proportional to 4,827.48, 7,234.20 and 3,589.08

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Solution

The fourth proportional to 4,827.48, 7,234.20 and 3,589.08 is: 5,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.48 : 7,234.20 = 3,589.08 : x
  2. Step 2: Convert to fraction form
    4,827.48/7,234.20 = 3,589.08/x
  3. Step 3: Cross multiply
    4,827.48x = 7,234.20 × 3,589.08
  4. Step 4: Simplify right side
    4,827.48x = 25,964,122.54
  5. Step 5: Solve for x
    x = 25,964,122.54/4,827.48
  6. Step 6: Final answer
    x = 5,378.40

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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.