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Finding the Fourth Proportional to 5,336.46, 8,000.37 and 3,464.28

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Solution

The fourth proportional to 5,336.46, 8,000.37 and 3,464.28 is: 5,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.46 : 8,000.37 = 3,464.28 : x
  2. Step 2: Convert to fraction form
    5,336.46/8,000.37 = 3,464.28/x
  3. Step 3: Cross multiply
    5,336.46x = 8,000.37 × 3,464.28
  4. Step 4: Simplify right side
    5,336.46x = 27,715,521.78
  5. Step 5: Solve for x
    x = 27,715,521.78/5,336.46
  6. Step 6: Final answer
    x = 5,193.62

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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.