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Finding the Fourth Proportional to 4,801.80, 7,202.70 and 3,829.80

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Solution

The fourth proportional to 4,801.80, 7,202.70 and 3,829.80 is: 5,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.80 : 7,202.70 = 3,829.80 : x
  2. Step 2: Convert to fraction form
    4,801.80/7,202.70 = 3,829.80/x
  3. Step 3: Cross multiply
    4,801.80x = 7,202.70 × 3,829.80
  4. Step 4: Simplify right side
    4,801.80x = 27,584,900.46
  5. Step 5: Solve for x
    x = 27,584,900.46/4,801.80
  6. Step 6: Final answer
    x = 5,744.70

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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.