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Finding the Fourth Proportional to 4,472.69, 6,703.87 and 3,285.05

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Solution

The fourth proportional to 4,472.69, 6,703.87 and 3,285.05 is: 4,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.69 : 6,703.87 = 3,285.05 : x
  2. Step 2: Convert to fraction form
    4,472.69/6,703.87 = 3,285.05/x
  3. Step 3: Cross multiply
    4,472.69x = 6,703.87 × 3,285.05
  4. Step 4: Simplify right side
    4,472.69x = 22,022,548.14
  5. Step 5: Solve for x
    x = 22,022,548.14/4,472.69
  6. Step 6: Final answer
    x = 4,923.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.