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Finding the Fourth Proportional to 5,783.27, 7,978.38 and 3,392.03

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Solution

The fourth proportional to 5,783.27, 7,978.38 and 3,392.03 is: 4,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.27 : 7,978.38 = 3,392.03 : x
  2. Step 2: Convert to fraction form
    5,783.27/7,978.38 = 3,392.03/x
  3. Step 3: Cross multiply
    5,783.27x = 7,978.38 × 3,392.03
  4. Step 4: Simplify right side
    5,783.27x = 27,062,864.42
  5. Step 5: Solve for x
    x = 27,062,864.42/5,783.27
  6. Step 6: Final answer
    x = 4,679.51

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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.