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Finding the Fourth Proportional to 3,163.75, 4,747.29 and 1,624.75

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Solution

The fourth proportional to 3,163.75, 4,747.29 and 1,624.75 is: 2,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.75 : 4,747.29 = 1,624.75 : x
  2. Step 2: Convert to fraction form
    3,163.75/4,747.29 = 1,624.75/x
  3. Step 3: Cross multiply
    3,163.75x = 4,747.29 × 1,624.75
  4. Step 4: Simplify right side
    3,163.75x = 7,713,159.43
  5. Step 5: Solve for x
    x = 7,713,159.43/3,163.75
  6. Step 6: Final answer
    x = 2,437.98

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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.