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Finding the Fourth Proportional to 6,217.76, 8,580.12 and 3,423.26

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Solution

The fourth proportional to 6,217.76, 8,580.12 and 3,423.26 is: 4,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.76 : 8,580.12 = 3,423.26 : x
  2. Step 2: Convert to fraction form
    6,217.76/8,580.12 = 3,423.26/x
  3. Step 3: Cross multiply
    6,217.76x = 8,580.12 × 3,423.26
  4. Step 4: Simplify right side
    6,217.76x = 29,371,981.59
  5. Step 5: Solve for x
    x = 29,371,981.59/6,217.76
  6. Step 6: Final answer
    x = 4,723.88

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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.