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Finding the Fourth Proportional to 4,882.14, 7,313.49 and 3,145.50

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Solution

The fourth proportional to 4,882.14, 7,313.49 and 3,145.50 is: 4,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.14 : 7,313.49 = 3,145.50 : x
  2. Step 2: Convert to fraction form
    4,882.14/7,313.49 = 3,145.50/x
  3. Step 3: Cross multiply
    4,882.14x = 7,313.49 × 3,145.50
  4. Step 4: Simplify right side
    4,882.14x = 23,004,582.80
  5. Step 5: Solve for x
    x = 23,004,582.80/4,882.14
  6. Step 6: Final answer
    x = 4,711.99

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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.