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Finding the Fourth Proportional to 6,217.75, 8,580.50 and 3,423.25

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Solution

The fourth proportional to 6,217.75, 8,580.50 and 3,423.25 is: 4,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.75 : 8,580.50 = 3,423.25 : x
  2. Step 2: Convert to fraction form
    6,217.75/8,580.50 = 3,423.25/x
  3. Step 3: Cross multiply
    6,217.75x = 8,580.50 × 3,423.25
  4. Step 4: Simplify right side
    6,217.75x = 29,373,196.63
  5. Step 5: Solve for x
    x = 29,373,196.63/6,217.75
  6. Step 6: Final answer
    x = 4,724.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.