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Finding the Fourth Proportional to 5,717.42, 7,892.73 and 4,301.64

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Solution

The fourth proportional to 5,717.42, 7,892.73 and 4,301.64 is: 5,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.42 : 7,892.73 = 4,301.64 : x
  2. Step 2: Convert to fraction form
    5,717.42/7,892.73 = 4,301.64/x
  3. Step 3: Cross multiply
    5,717.42x = 7,892.73 × 4,301.64
  4. Step 4: Simplify right side
    5,717.42x = 33,951,683.08
  5. Step 5: Solve for x
    x = 33,951,683.08/5,717.42
  6. Step 6: Final answer
    x = 5,938.29

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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.