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Finding the Fourth Proportional to 3,400.48, 5,096.40 and 1,450.72

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Solution

The fourth proportional to 3,400.48, 5,096.40 and 1,450.72 is: 2,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.48 : 5,096.40 = 1,450.72 : x
  2. Step 2: Convert to fraction form
    3,400.48/5,096.40 = 1,450.72/x
  3. Step 3: Cross multiply
    3,400.48x = 5,096.40 × 1,450.72
  4. Step 4: Simplify right side
    3,400.48x = 7,393,449.41
  5. Step 5: Solve for x
    x = 7,393,449.41/3,400.48
  6. Step 6: Final answer
    x = 2,174.24

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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.