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Finding the Fourth Proportional to 4,472.44, 6,174.75 and 4,193.50

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Solution

The fourth proportional to 4,472.44, 6,174.75 and 4,193.50 is: 5,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.44 : 6,174.75 = 4,193.50 : x
  2. Step 2: Convert to fraction form
    4,472.44/6,174.75 = 4,193.50/x
  3. Step 3: Cross multiply
    4,472.44x = 6,174.75 × 4,193.50
  4. Step 4: Simplify right side
    4,472.44x = 25,893,814.13
  5. Step 5: Solve for x
    x = 25,893,814.13/4,472.44
  6. Step 6: Final answer
    x = 5,789.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.