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Finding the Fourth Proportional to 3,664.54, 5,057.14 and 1,986.02

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Solution

The fourth proportional to 3,664.54, 5,057.14 and 1,986.02 is: 2,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.54 : 5,057.14 = 1,986.02 : x
  2. Step 2: Convert to fraction form
    3,664.54/5,057.14 = 1,986.02/x
  3. Step 3: Cross multiply
    3,664.54x = 5,057.14 × 1,986.02
  4. Step 4: Simplify right side
    3,664.54x = 10,043,581.18
  5. Step 5: Solve for x
    x = 10,043,581.18/3,664.54
  6. Step 6: Final answer
    x = 2,740.75

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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.