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Finding the Fourth Proportional to 3,225, 4,834.23 and 1,144.50

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Solution

The fourth proportional to 3,225, 4,834.23 and 1,144.50 is: 1,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225 : 4,834.23 = 1,144.50 : x
  2. Step 2: Convert to fraction form
    3,225/4,834.23 = 1,144.50/x
  3. Step 3: Cross multiply
    3,225x = 4,834.23 × 1,144.50
  4. Step 4: Simplify right side
    3,225x = 5,532,776.24
  5. Step 5: Solve for x
    x = 5,532,776.24/3,225
  6. Step 6: Final answer
    x = 1,715.59

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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.