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Finding the Fourth Proportional to 5,782.34, 7,979.74 and 3,424.02

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Solution

The fourth proportional to 5,782.34, 7,979.74 and 3,424.02 is: 4,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.34 : 7,979.74 = 3,424.02 : x
  2. Step 2: Convert to fraction form
    5,782.34/7,979.74 = 3,424.02/x
  3. Step 3: Cross multiply
    5,782.34x = 7,979.74 × 3,424.02
  4. Step 4: Simplify right side
    5,782.34x = 27,322,789.35
  5. Step 5: Solve for x
    x = 27,322,789.35/5,782.34
  6. Step 6: Final answer
    x = 4,725.21

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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.