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Finding the Fourth Proportional to 5,111.44, 7,668.24 and 1,648.56

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Solution

The fourth proportional to 5,111.44, 7,668.24 and 1,648.56 is: 2,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.44 : 7,668.24 = 1,648.56 : x
  2. Step 2: Convert to fraction form
    5,111.44/7,668.24 = 1,648.56/x
  3. Step 3: Cross multiply
    5,111.44x = 7,668.24 × 1,648.56
  4. Step 4: Simplify right side
    5,111.44x = 12,641,553.73
  5. Step 5: Solve for x
    x = 12,641,553.73/5,111.44
  6. Step 6: Final answer
    x = 2,473.19

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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.