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Finding the Fourth Proportional to 4,738.29, 7,108.34 and 1,451.41

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Solution

The fourth proportional to 4,738.29, 7,108.34 and 1,451.41 is: 2,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.29 : 7,108.34 = 1,451.41 : x
  2. Step 2: Convert to fraction form
    4,738.29/7,108.34 = 1,451.41/x
  3. Step 3: Cross multiply
    4,738.29x = 7,108.34 × 1,451.41
  4. Step 4: Simplify right side
    4,738.29x = 10,317,110.50
  5. Step 5: Solve for x
    x = 10,317,110.50/4,738.29
  6. Step 6: Final answer
    x = 2,177.39

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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.