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Finding the Fourth Proportional to 3,902.04, 5,384.82 and 2,133.72

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Solution

The fourth proportional to 3,902.04, 5,384.82 and 2,133.72 is: 2,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.04 : 5,384.82 = 2,133.72 : x
  2. Step 2: Convert to fraction form
    3,902.04/5,384.82 = 2,133.72/x
  3. Step 3: Cross multiply
    3,902.04x = 5,384.82 × 2,133.72
  4. Step 4: Simplify right side
    3,902.04x = 11,489,698.13
  5. Step 5: Solve for x
    x = 11,489,698.13/3,902.04
  6. Step 6: Final answer
    x = 2,944.54

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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.