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Finding the Fourth Proportional to 5,694.47, 8,523.92 and 4,195.18

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Solution

The fourth proportional to 5,694.47, 8,523.92 and 4,195.18 is: 6,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.47 : 8,523.92 = 4,195.18 : x
  2. Step 2: Convert to fraction form
    5,694.47/8,523.92 = 4,195.18/x
  3. Step 3: Cross multiply
    5,694.47x = 8,523.92 × 4,195.18
  4. Step 4: Simplify right side
    5,694.47x = 35,759,367.88
  5. Step 5: Solve for x
    x = 35,759,367.88/5,694.47
  6. Step 6: Final answer
    x = 6,279.67

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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.