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Finding the Fourth Proportional to 3,814.96, 5,723.03 and 1,623.10

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Solution

The fourth proportional to 3,814.96, 5,723.03 and 1,623.10 is: 2,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.96 : 5,723.03 = 1,623.10 : x
  2. Step 2: Convert to fraction form
    3,814.96/5,723.03 = 1,623.10/x
  3. Step 3: Cross multiply
    3,814.96x = 5,723.03 × 1,623.10
  4. Step 4: Simplify right side
    3,814.96x = 9,289,049.99
  5. Step 5: Solve for x
    x = 9,289,049.99/3,814.96
  6. Step 6: Final answer
    x = 2,434.90

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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.