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Finding the Fourth Proportional to 3,921.78, 5,412.04 and 2,153.40

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Solution

The fourth proportional to 3,921.78, 5,412.04 and 2,153.40 is: 2,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.78 : 5,412.04 = 2,153.40 : x
  2. Step 2: Convert to fraction form
    3,921.78/5,412.04 = 2,153.40/x
  3. Step 3: Cross multiply
    3,921.78x = 5,412.04 × 2,153.40
  4. Step 4: Simplify right side
    3,921.78x = 11,654,286.94
  5. Step 5: Solve for x
    x = 11,654,286.94/3,921.78
  6. Step 6: Final answer
    x = 2,971.68

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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.