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Finding the Fourth Proportional to 5,073.94, 7,609.79 and 1,563.37

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Solution

The fourth proportional to 5,073.94, 7,609.79 and 1,563.37 is: 2,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.94 : 7,609.79 = 1,563.37 : x
  2. Step 2: Convert to fraction form
    5,073.94/7,609.79 = 1,563.37/x
  3. Step 3: Cross multiply
    5,073.94x = 7,609.79 × 1,563.37
  4. Step 4: Simplify right side
    5,073.94x = 11,896,909.58
  5. Step 5: Solve for x
    x = 11,896,909.58/5,073.94
  6. Step 6: Final answer
    x = 2,344.71

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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.