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Finding the Fourth Proportional to 4,951.75, 7,428.86 and 3,493.75

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Solution

The fourth proportional to 4,951.75, 7,428.86 and 3,493.75 is: 5,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.75 : 7,428.86 = 3,493.75 : x
  2. Step 2: Convert to fraction form
    4,951.75/7,428.86 = 3,493.75/x
  3. Step 3: Cross multiply
    4,951.75x = 7,428.86 × 3,493.75
  4. Step 4: Simplify right side
    4,951.75x = 25,954,525.01
  5. Step 5: Solve for x
    x = 25,954,525.01/4,951.75
  6. Step 6: Final answer
    x = 5,241.49

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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.