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Finding the Fourth Proportional to 4,769.48, 7,146.02 and 2,302.73

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Solution

The fourth proportional to 4,769.48, 7,146.02 and 2,302.73 is: 3,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.48 : 7,146.02 = 2,302.73 : x
  2. Step 2: Convert to fraction form
    4,769.48/7,146.02 = 2,302.73/x
  3. Step 3: Cross multiply
    4,769.48x = 7,146.02 × 2,302.73
  4. Step 4: Simplify right side
    4,769.48x = 16,455,351.46
  5. Step 5: Solve for x
    x = 16,455,351.46/4,769.48
  6. Step 6: Final answer
    x = 3,450.13

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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.