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Finding the Fourth Proportional to 4,545.72, 6,817.13 and 1,467

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Solution

The fourth proportional to 4,545.72, 6,817.13 and 1,467 is: 2,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.72 : 6,817.13 = 1,467 : x
  2. Step 2: Convert to fraction form
    4,545.72/6,817.13 = 1,467/x
  3. Step 3: Cross multiply
    4,545.72x = 6,817.13 × 1,467
  4. Step 4: Simplify right side
    4,545.72x = 10,000,729.71
  5. Step 5: Solve for x
    x = 10,000,729.71/4,545.72
  6. Step 6: Final answer
    x = 2,200.03

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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.