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Finding the Fourth Proportional to 5,097.93, 7,647 and 1,635.18

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Solution

The fourth proportional to 5,097.93, 7,647 and 1,635.18 is: 2,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.93 : 7,647 = 1,635.18 : x
  2. Step 2: Convert to fraction form
    5,097.93/7,647 = 1,635.18/x
  3. Step 3: Cross multiply
    5,097.93x = 7,647 × 1,635.18
  4. Step 4: Simplify right side
    5,097.93x = 12,504,221.46
  5. Step 5: Solve for x
    x = 12,504,221.46/5,097.93
  6. Step 6: Final answer
    x = 2,452.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.