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Finding the Fourth Proportional to 5,525, 7,624.50 and 3,041

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Solution

The fourth proportional to 5,525, 7,624.50 and 3,041 is: 4,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525 : 7,624.50 = 3,041 : x
  2. Step 2: Convert to fraction form
    5,525/7,624.50 = 3,041/x
  3. Step 3: Cross multiply
    5,525x = 7,624.50 × 3,041
  4. Step 4: Simplify right side
    5,525x = 23,186,104.50
  5. Step 5: Solve for x
    x = 23,186,104.50/5,525
  6. Step 6: Final answer
    x = 4,196.58

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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.