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Finding the Fourth Proportional to 4,372.83, 6,546.78 and 4,096.94

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Solution

The fourth proportional to 4,372.83, 6,546.78 and 4,096.94 is: 6,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372.83 : 6,546.78 = 4,096.94 : x
  2. Step 2: Convert to fraction form
    4,372.83/6,546.78 = 4,096.94/x
  3. Step 3: Cross multiply
    4,372.83x = 6,546.78 × 4,096.94
  4. Step 4: Simplify right side
    4,372.83x = 26,821,732.12
  5. Step 5: Solve for x
    x = 26,821,732.12/4,372.83
  6. Step 6: Final answer
    x = 6,133.72

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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.