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Finding the Fourth Proportional to 5,782.54, 7,979.97 and 3,393.04

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Solution

The fourth proportional to 5,782.54, 7,979.97 and 3,393.04 is: 4,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.54 : 7,979.97 = 3,393.04 : x
  2. Step 2: Convert to fraction form
    5,782.54/7,979.97 = 3,393.04/x
  3. Step 3: Cross multiply
    5,782.54x = 7,979.97 × 3,393.04
  4. Step 4: Simplify right side
    5,782.54x = 27,076,357.41
  5. Step 5: Solve for x
    x = 27,076,357.41/5,782.54
  6. Step 6: Final answer
    x = 4,682.43

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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.