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Finding the Fourth Proportional to 3,829.75, 5,285.06 and 2,173.75

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Solution

The fourth proportional to 3,829.75, 5,285.06 and 2,173.75 is: 2,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.75 : 5,285.06 = 2,173.75 : x
  2. Step 2: Convert to fraction form
    3,829.75/5,285.06 = 2,173.75/x
  3. Step 3: Cross multiply
    3,829.75x = 5,285.06 × 2,173.75
  4. Step 4: Simplify right side
    3,829.75x = 11,488,399.18
  5. Step 5: Solve for x
    x = 11,488,399.18/3,829.75
  6. Step 6: Final answer
    x = 2,999.78

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