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Finding the Fourth Proportional to 5,829.44, 7,992.32 and 5,724.44

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Solution

The fourth proportional to 5,829.44, 7,992.32 and 5,724.44 is: 7,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.44 : 7,992.32 = 5,724.44 : x
  2. Step 2: Convert to fraction form
    5,829.44/7,992.32 = 5,724.44/x
  3. Step 3: Cross multiply
    5,829.44x = 7,992.32 × 5,724.44
  4. Step 4: Simplify right side
    5,829.44x = 45,751,517.69
  5. Step 5: Solve for x
    x = 45,751,517.69/5,829.44
  6. Step 6: Final answer
    x = 7,848.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.