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Finding the Fourth Proportional to 5,915.46, 8,167.43 and 3,678.34

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Solution

The fourth proportional to 5,915.46, 8,167.43 and 3,678.34 is: 5,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.46 : 8,167.43 = 3,678.34 : x
  2. Step 2: Convert to fraction form
    5,915.46/8,167.43 = 3,678.34/x
  3. Step 3: Cross multiply
    5,915.46x = 8,167.43 × 3,678.34
  4. Step 4: Simplify right side
    5,915.46x = 30,042,584.47
  5. Step 5: Solve for x
    x = 30,042,584.47/5,915.46
  6. Step 6: Final answer
    x = 5,078.66

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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.