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Finding the Fourth Proportional to 4,324.82, 6,483.02 and 3,281.80

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Solution

The fourth proportional to 4,324.82, 6,483.02 and 3,281.80 is: 4,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.82 : 6,483.02 = 3,281.80 : x
  2. Step 2: Convert to fraction form
    4,324.82/6,483.02 = 3,281.80/x
  3. Step 3: Cross multiply
    4,324.82x = 6,483.02 × 3,281.80
  4. Step 4: Simplify right side
    4,324.82x = 21,275,975.04
  5. Step 5: Solve for x
    x = 21,275,975.04/4,324.82
  6. Step 6: Final answer
    x = 4,919.51

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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.