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Finding the Fourth Proportional to 5,914.92, 8,862.97 and 4,738.80

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Solution

The fourth proportional to 5,914.92, 8,862.97 and 4,738.80 is: 7,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.92 : 8,862.97 = 4,738.80 : x
  2. Step 2: Convert to fraction form
    5,914.92/8,862.97 = 4,738.80/x
  3. Step 3: Cross multiply
    5,914.92x = 8,862.97 × 4,738.80
  4. Step 4: Simplify right side
    5,914.92x = 41,999,872.51
  5. Step 5: Solve for x
    x = 41,999,872.51/5,914.92
  6. Step 6: Final answer
    x = 7,100.66

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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.