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Finding the Fourth Proportional to 5,181.62, 7,768.10 and 2,059.68

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Solution

The fourth proportional to 5,181.62, 7,768.10 and 2,059.68 is: 3,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.62 : 7,768.10 = 2,059.68 : x
  2. Step 2: Convert to fraction form
    5,181.62/7,768.10 = 2,059.68/x
  3. Step 3: Cross multiply
    5,181.62x = 7,768.10 × 2,059.68
  4. Step 4: Simplify right side
    5,181.62x = 15,999,800.21
  5. Step 5: Solve for x
    x = 15,999,800.21/5,181.62
  6. Step 6: Final answer
    x = 3,087.80

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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.