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Finding the Fourth Proportional to 5,096.72, 7,646.04 and 2,174.96

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Solution

The fourth proportional to 5,096.72, 7,646.04 and 2,174.96 is: 3,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.72 : 7,646.04 = 2,174.96 : x
  2. Step 2: Convert to fraction form
    5,096.72/7,646.04 = 2,174.96/x
  3. Step 3: Cross multiply
    5,096.72x = 7,646.04 × 2,174.96
  4. Step 4: Simplify right side
    5,096.72x = 16,629,831.16
  5. Step 5: Solve for x
    x = 16,629,831.16/5,096.72
  6. Step 6: Final answer
    x = 3,262.85

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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.