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Finding the Fourth Proportional to 5,795.92, 7,992.35 and 4,959.39

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Solution

The fourth proportional to 5,795.92, 7,992.35 and 4,959.39 is: 6,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.92 : 7,992.35 = 4,959.39 : x
  2. Step 2: Convert to fraction form
    5,795.92/7,992.35 = 4,959.39/x
  3. Step 3: Cross multiply
    5,795.92x = 7,992.35 × 4,959.39
  4. Step 4: Simplify right side
    5,795.92x = 39,637,204.44
  5. Step 5: Solve for x
    x = 39,637,204.44/5,795.92
  6. Step 6: Final answer
    x = 6,838.81

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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.