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Finding the Fourth Proportional to 4,676.38, 7,006.30 and 3,901.37

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Solution

The fourth proportional to 4,676.38, 7,006.30 and 3,901.37 is: 5,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.38 : 7,006.30 = 3,901.37 : x
  2. Step 2: Convert to fraction form
    4,676.38/7,006.30 = 3,901.37/x
  3. Step 3: Cross multiply
    4,676.38x = 7,006.30 × 3,901.37
  4. Step 4: Simplify right side
    4,676.38x = 27,334,123.85
  5. Step 5: Solve for x
    x = 27,334,123.85/4,676.38
  6. Step 6: Final answer
    x = 5,845.14

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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.