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Finding the Fourth Proportional to 5,921.46, 8,170.72 and 3,934.94

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Solution

The fourth proportional to 5,921.46, 8,170.72 and 3,934.94 is: 5,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.46 : 8,170.72 = 3,934.94 : x
  2. Step 2: Convert to fraction form
    5,921.46/8,170.72 = 3,934.94/x
  3. Step 3: Cross multiply
    5,921.46x = 8,170.72 × 3,934.94
  4. Step 4: Simplify right side
    5,921.46x = 32,151,242.27
  5. Step 5: Solve for x
    x = 32,151,242.27/5,921.46
  6. Step 6: Final answer
    x = 5,429.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.