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Finding the Fourth Proportional to 4,786.38, 7,172.64 and 3,402.45

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Solution

The fourth proportional to 4,786.38, 7,172.64 and 3,402.45 is: 5,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.38 : 7,172.64 = 3,402.45 : x
  2. Step 2: Convert to fraction form
    4,786.38/7,172.64 = 3,402.45/x
  3. Step 3: Cross multiply
    4,786.38x = 7,172.64 × 3,402.45
  4. Step 4: Simplify right side
    4,786.38x = 24,404,548.97
  5. Step 5: Solve for x
    x = 24,404,548.97/4,786.38
  6. Step 6: Final answer
    x = 5,098.75

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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.