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Finding the Fourth Proportional to 5,120.92, 7,674.16 and 4,076.27

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Solution

The fourth proportional to 5,120.92, 7,674.16 and 4,076.27 is: 6,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.92 : 7,674.16 = 4,076.27 : x
  2. Step 2: Convert to fraction form
    5,120.92/7,674.16 = 4,076.27/x
  3. Step 3: Cross multiply
    5,120.92x = 7,674.16 × 4,076.27
  4. Step 4: Simplify right side
    5,120.92x = 31,281,927.80
  5. Step 5: Solve for x
    x = 31,281,927.80/5,120.92
  6. Step 6: Final answer
    x = 6,108.66

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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.