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Finding the Fourth Proportional to 5,648.16, 8,474.56 and 3,456.96

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Solution

The fourth proportional to 5,648.16, 8,474.56 and 3,456.96 is: 5,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.16 : 8,474.56 = 3,456.96 : x
  2. Step 2: Convert to fraction form
    5,648.16/8,474.56 = 3,456.96/x
  3. Step 3: Cross multiply
    5,648.16x = 8,474.56 × 3,456.96
  4. Step 4: Simplify right side
    5,648.16x = 29,296,214.94
  5. Step 5: Solve for x
    x = 29,296,214.94/5,648.16
  6. Step 6: Final answer
    x = 5,186.86

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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.