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Finding the Fourth Proportional to 5,532.84, 7,638.30 and 3,834

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Solution

The fourth proportional to 5,532.84, 7,638.30 and 3,834 is: 5,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.84 : 7,638.30 = 3,834 : x
  2. Step 2: Convert to fraction form
    5,532.84/7,638.30 = 3,834/x
  3. Step 3: Cross multiply
    5,532.84x = 7,638.30 × 3,834
  4. Step 4: Simplify right side
    5,532.84x = 29,285,242.20
  5. Step 5: Solve for x
    x = 29,285,242.20/5,532.84
  6. Step 6: Final answer
    x = 5,292.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.