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Finding the Fourth Proportional to 5,232.69, 7,850.16 and 1,722.99

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Solution

The fourth proportional to 5,232.69, 7,850.16 and 1,722.99 is: 2,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.69 : 7,850.16 = 1,722.99 : x
  2. Step 2: Convert to fraction form
    5,232.69/7,850.16 = 1,722.99/x
  3. Step 3: Cross multiply
    5,232.69x = 7,850.16 × 1,722.99
  4. Step 4: Simplify right side
    5,232.69x = 13,525,747.18
  5. Step 5: Solve for x
    x = 13,525,747.18/5,232.69
  6. Step 6: Final answer
    x = 2,584.86

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1.5x scale

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.