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Finding the Fourth Proportional to 3,199.89, 4,769.00 and 3,195.03

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Solution

The fourth proportional to 3,199.89, 4,769.00 and 3,195.03 is: 4,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.89 : 4,769.00 = 3,195.03 : x
  2. Step 2: Convert to fraction form
    3,199.89/4,769.00 = 3,195.03/x
  3. Step 3: Cross multiply
    3,199.89x = 4,769.00 × 3,195.03
  4. Step 4: Simplify right side
    3,199.89x = 15,237,106.06
  5. Step 5: Solve for x
    x = 15,237,106.06/3,199.89
  6. Step 6: Final answer
    x = 4,761.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.