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Finding the Fourth Proportional to 6,217.56, 8,580.18 and 3,423

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Solution

The fourth proportional to 6,217.56, 8,580.18 and 3,423 is: 4,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.56 : 8,580.18 = 3,423 : x
  2. Step 2: Convert to fraction form
    6,217.56/8,580.18 = 3,423/x
  3. Step 3: Cross multiply
    6,217.56x = 8,580.18 × 3,423
  4. Step 4: Simplify right side
    6,217.56x = 29,369,956.14
  5. Step 5: Solve for x
    x = 29,369,956.14/6,217.56
  6. Step 6: Final answer
    x = 4,723.71

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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.