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Finding the Fourth Proportional to 3,629.69, 5,009.07 and 2,057.89

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Solution

The fourth proportional to 3,629.69, 5,009.07 and 2,057.89 is: 2,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.69 : 5,009.07 = 2,057.89 : x
  2. Step 2: Convert to fraction form
    3,629.69/5,009.07 = 2,057.89/x
  3. Step 3: Cross multiply
    3,629.69x = 5,009.07 × 2,057.89
  4. Step 4: Simplify right side
    3,629.69x = 10,308,090.02
  5. Step 5: Solve for x
    x = 10,308,090.02/3,629.69
  6. Step 6: Final answer
    x = 2,839.94

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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.