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Finding the Fourth Proportional to 5,782.49, 7,979.94 and 3,394.17

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Solution

The fourth proportional to 5,782.49, 7,979.94 and 3,394.17 is: 4,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.49 : 7,979.94 = 3,394.17 : x
  2. Step 2: Convert to fraction form
    5,782.49/7,979.94 = 3,394.17/x
  3. Step 3: Cross multiply
    5,782.49x = 7,979.94 × 3,394.17
  4. Step 4: Simplify right side
    5,782.49x = 27,085,216.08
  5. Step 5: Solve for x
    x = 27,085,216.08/5,782.49
  6. Step 6: Final answer
    x = 4,684.01

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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.