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Finding the Fourth Proportional to 3,444, 5,166.04 and 846.94

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Solution

The fourth proportional to 3,444, 5,166.04 and 846.94 is: 1,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 5,166.04 = 846.94 : x
  2. Step 2: Convert to fraction form
    3,444/5,166.04 = 846.94/x
  3. Step 3: Cross multiply
    3,444x = 5,166.04 × 846.94
  4. Step 4: Simplify right side
    3,444x = 4,375,325.92
  5. Step 5: Solve for x
    x = 4,375,325.92/3,444
  6. Step 6: Final answer
    x = 1,270.42

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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.