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Finding the Fourth Proportional to 4,336.37, 6,511.89 and 4,114.43

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Solution

The fourth proportional to 4,336.37, 6,511.89 and 4,114.43 is: 6,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.37 : 6,511.89 = 4,114.43 : x
  2. Step 2: Convert to fraction form
    4,336.37/6,511.89 = 4,114.43/x
  3. Step 3: Cross multiply
    4,336.37x = 6,511.89 × 4,114.43
  4. Step 4: Simplify right side
    4,336.37x = 26,792,722.86
  5. Step 5: Solve for x
    x = 26,792,722.86/4,336.37
  6. Step 6: Final answer
    x = 6,178.61

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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.