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Finding the Fourth Proportional to 3,628.28, 5,007.13 and 2,056.37

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Solution

The fourth proportional to 3,628.28, 5,007.13 and 2,056.37 is: 2,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.28 : 5,007.13 = 2,056.37 : x
  2. Step 2: Convert to fraction form
    3,628.28/5,007.13 = 2,056.37/x
  3. Step 3: Cross multiply
    3,628.28x = 5,007.13 × 2,056.37
  4. Step 4: Simplify right side
    3,628.28x = 10,296,481.74
  5. Step 5: Solve for x
    x = 10,296,481.74/3,628.28
  6. Step 6: Final answer
    x = 2,837.84

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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.