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Finding the Fourth Proportional to 3,654.54, 5,043.15 and 2,142.38

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Solution

The fourth proportional to 3,654.54, 5,043.15 and 2,142.38 is: 2,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.54 : 5,043.15 = 2,142.38 : x
  2. Step 2: Convert to fraction form
    3,654.54/5,043.15 = 2,142.38/x
  3. Step 3: Cross multiply
    3,654.54x = 5,043.15 × 2,142.38
  4. Step 4: Simplify right side
    3,654.54x = 10,804,343.70
  5. Step 5: Solve for x
    x = 10,804,343.70/3,654.54
  6. Step 6: Final answer
    x = 2,956.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.