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Finding the Fourth Proportional to 4,850.50, 7,275.75 and 1,387.75

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Solution

The fourth proportional to 4,850.50, 7,275.75 and 1,387.75 is: 2,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.50 : 7,275.75 = 1,387.75 : x
  2. Step 2: Convert to fraction form
    4,850.50/7,275.75 = 1,387.75/x
  3. Step 3: Cross multiply
    4,850.50x = 7,275.75 × 1,387.75
  4. Step 4: Simplify right side
    4,850.50x = 10,096,922.06
  5. Step 5: Solve for x
    x = 10,096,922.06/4,850.50
  6. Step 6: Final answer
    x = 2,081.63

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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.