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Finding the Fourth Proportional to 4,234.74, 5,846.22 and 2,556.54

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Solution

The fourth proportional to 4,234.74, 5,846.22 and 2,556.54 is: 3,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.74 : 5,846.22 = 2,556.54 : x
  2. Step 2: Convert to fraction form
    4,234.74/5,846.22 = 2,556.54/x
  3. Step 3: Cross multiply
    4,234.74x = 5,846.22 × 2,556.54
  4. Step 4: Simplify right side
    4,234.74x = 14,946,095.28
  5. Step 5: Solve for x
    x = 14,946,095.28/4,234.74
  6. Step 6: Final answer
    x = 3,529.40

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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.