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Finding the Fourth Proportional to 5,100.70, 7,039.02 and 2,976.34

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Solution

The fourth proportional to 5,100.70, 7,039.02 and 2,976.34 is: 4,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.70 : 7,039.02 = 2,976.34 : x
  2. Step 2: Convert to fraction form
    5,100.70/7,039.02 = 2,976.34/x
  3. Step 3: Cross multiply
    5,100.70x = 7,039.02 × 2,976.34
  4. Step 4: Simplify right side
    5,100.70x = 20,950,516.79
  5. Step 5: Solve for x
    x = 20,950,516.79/5,100.70
  6. Step 6: Final answer
    x = 4,107.38

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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.