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Finding the Fourth Proportional to 6,466.82, 8,915.70 and 4,224.80

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Solution

The fourth proportional to 6,466.82, 8,915.70 and 4,224.80 is: 5,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.82 : 8,915.70 = 4,224.80 : x
  2. Step 2: Convert to fraction form
    6,466.82/8,915.70 = 4,224.80/x
  3. Step 3: Cross multiply
    6,466.82x = 8,915.70 × 4,224.80
  4. Step 4: Simplify right side
    6,466.82x = 37,667,049.36
  5. Step 5: Solve for x
    x = 37,667,049.36/6,466.82
  6. Step 6: Final answer
    x = 5,824.66

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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.