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Finding the Fourth Proportional to 4,650.92, 6,976.38 and 3,827.45

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Solution

The fourth proportional to 4,650.92, 6,976.38 and 3,827.45 is: 5,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.92 : 6,976.38 = 3,827.45 : x
  2. Step 2: Convert to fraction form
    4,650.92/6,976.38 = 3,827.45/x
  3. Step 3: Cross multiply
    4,650.92x = 6,976.38 × 3,827.45
  4. Step 4: Simplify right side
    4,650.92x = 26,701,755.90
  5. Step 5: Solve for x
    x = 26,701,755.90/4,650.92
  6. Step 6: Final answer
    x = 5,741.18

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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.