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Finding the Fourth Proportional to 3,654, 5,043.42 and 2,083.01

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Solution

The fourth proportional to 3,654, 5,043.42 and 2,083.01 is: 2,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,043.42 = 2,083.01 : x
  2. Step 2: Convert to fraction form
    3,654/5,043.42 = 2,083.01/x
  3. Step 3: Cross multiply
    3,654x = 5,043.42 × 2,083.01
  4. Step 4: Simplify right side
    3,654x = 10,505,469.08
  5. Step 5: Solve for x
    x = 10,505,469.08/3,654
  6. Step 6: Final answer
    x = 2,875.06

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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.