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Finding the Fourth Proportional to 6,217.32, 8,580.42 and 3,564.84

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Solution

The fourth proportional to 6,217.32, 8,580.42 and 3,564.84 is: 4,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.32 : 8,580.42 = 3,564.84 : x
  2. Step 2: Convert to fraction form
    6,217.32/8,580.42 = 3,564.84/x
  3. Step 3: Cross multiply
    6,217.32x = 8,580.42 × 3,564.84
  4. Step 4: Simplify right side
    6,217.32x = 30,587,824.43
  5. Step 5: Solve for x
    x = 30,587,824.43/6,217.32
  6. Step 6: Final answer
    x = 4,919.78

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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.