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Finding the Fourth Proportional to 4,676.86, 7,007.80 and 3,273.92

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Solution

The fourth proportional to 4,676.86, 7,007.80 and 3,273.92 is: 4,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.86 : 7,007.80 = 3,273.92 : x
  2. Step 2: Convert to fraction form
    4,676.86/7,007.80 = 3,273.92/x
  3. Step 3: Cross multiply
    4,676.86x = 7,007.80 × 3,273.92
  4. Step 4: Simplify right side
    4,676.86x = 22,942,965.77
  5. Step 5: Solve for x
    x = 22,942,965.77/4,676.86
  6. Step 6: Final answer
    x = 4,905.64

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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.