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Finding the Fourth Proportional to 5,085.96, 7,630.08 and 2,745.92

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Solution

The fourth proportional to 5,085.96, 7,630.08 and 2,745.92 is: 4,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.96 : 7,630.08 = 2,745.92 : x
  2. Step 2: Convert to fraction form
    5,085.96/7,630.08 = 2,745.92/x
  3. Step 3: Cross multiply
    5,085.96x = 7,630.08 × 2,745.92
  4. Step 4: Simplify right side
    5,085.96x = 20,951,561.42
  5. Step 5: Solve for x
    x = 20,951,561.42/5,085.96
  6. Step 6: Final answer
    x = 4,119.49

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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.