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Finding the Fourth Proportional to 5,842.92, 8,768.49 and 2,556.96

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Solution

The fourth proportional to 5,842.92, 8,768.49 and 2,556.96 is: 3,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.92 : 8,768.49 = 2,556.96 : x
  2. Step 2: Convert to fraction form
    5,842.92/8,768.49 = 2,556.96/x
  3. Step 3: Cross multiply
    5,842.92x = 8,768.49 × 2,556.96
  4. Step 4: Simplify right side
    5,842.92x = 22,420,678.19
  5. Step 5: Solve for x
    x = 22,420,678.19/5,842.92
  6. Step 6: Final answer
    x = 3,837.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.