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Finding the Fourth Proportional to 6,322.74, 8,720.43 and 4,084.85

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Solution

The fourth proportional to 6,322.74, 8,720.43 and 4,084.85 is: 5,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.74 : 8,720.43 = 4,084.85 : x
  2. Step 2: Convert to fraction form
    6,322.74/8,720.43 = 4,084.85/x
  3. Step 3: Cross multiply
    6,322.74x = 8,720.43 × 4,084.85
  4. Step 4: Simplify right side
    6,322.74x = 35,621,604.88
  5. Step 5: Solve for x
    x = 35,621,604.88/6,322.74
  6. Step 6: Final answer
    x = 5,633.89

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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.