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Finding the Fourth Proportional to 6,394.62, 8,824.72 and 3,562.18

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Solution

The fourth proportional to 6,394.62, 8,824.72 and 3,562.18 is: 4,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.62 : 8,824.72 = 3,562.18 : x
  2. Step 2: Convert to fraction form
    6,394.62/8,824.72 = 3,562.18/x
  3. Step 3: Cross multiply
    6,394.62x = 8,824.72 × 3,562.18
  4. Step 4: Simplify right side
    6,394.62x = 31,435,241.09
  5. Step 5: Solve for x
    x = 31,435,241.09/6,394.62
  6. Step 6: Final answer
    x = 4,915.89

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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.