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Finding the Fourth Proportional to 4,745.63, 7,100.82 and 2,982.38

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Solution

The fourth proportional to 4,745.63, 7,100.82 and 2,982.38 is: 4,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.63 : 7,100.82 = 2,982.38 : x
  2. Step 2: Convert to fraction form
    4,745.63/7,100.82 = 2,982.38/x
  3. Step 3: Cross multiply
    4,745.63x = 7,100.82 × 2,982.38
  4. Step 4: Simplify right side
    4,745.63x = 21,177,343.55
  5. Step 5: Solve for x
    x = 21,177,343.55/4,745.63
  6. Step 6: Final answer
    x = 4,462.49

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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.