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Finding the Fourth Proportional to 3,902.06, 5,384.87 and 2,133.69

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Solution

The fourth proportional to 3,902.06, 5,384.87 and 2,133.69 is: 2,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.06 : 5,384.87 = 2,133.69 : x
  2. Step 2: Convert to fraction form
    3,902.06/5,384.87 = 2,133.69/x
  3. Step 3: Cross multiply
    3,902.06x = 5,384.87 × 2,133.69
  4. Step 4: Simplify right side
    3,902.06x = 11,489,632.60
  5. Step 5: Solve for x
    x = 11,489,632.60/3,902.06
  6. Step 6: Final answer
    x = 2,944.51

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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.