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Finding the Fourth Proportional to 3,852.50, 5,778.99 and 1,220.09

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Solution

The fourth proportional to 3,852.50, 5,778.99 and 1,220.09 is: 1,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.50 : 5,778.99 = 1,220.09 : x
  2. Step 2: Convert to fraction form
    3,852.50/5,778.99 = 1,220.09/x
  3. Step 3: Cross multiply
    3,852.50x = 5,778.99 × 1,220.09
  4. Step 4: Simplify right side
    3,852.50x = 7,050,859.01
  5. Step 5: Solve for x
    x = 7,050,859.01/3,852.50
  6. Step 6: Final answer
    x = 1,830.21

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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.