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Finding the Fourth Proportional to 5,946.92, 8,915.08 and 2,825

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Solution

The fourth proportional to 5,946.92, 8,915.08 and 2,825 is: 4,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.92 : 8,915.08 = 2,825 : x
  2. Step 2: Convert to fraction form
    5,946.92/8,915.08 = 2,825/x
  3. Step 3: Cross multiply
    5,946.92x = 8,915.08 × 2,825
  4. Step 4: Simplify right side
    5,946.92x = 25,185,101
  5. Step 5: Solve for x
    x = 25,185,101/5,946.92
  6. Step 6: Final answer
    x = 4,234.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.