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Finding the Fourth Proportional to 5,174.33, 7,759.22 and 1,475.72

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Solution

The fourth proportional to 5,174.33, 7,759.22 and 1,475.72 is: 2,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.33 : 7,759.22 = 1,475.72 : x
  2. Step 2: Convert to fraction form
    5,174.33/7,759.22 = 1,475.72/x
  3. Step 3: Cross multiply
    5,174.33x = 7,759.22 × 1,475.72
  4. Step 4: Simplify right side
    5,174.33x = 11,450,436.14
  5. Step 5: Solve for x
    x = 11,450,436.14/5,174.33
  6. Step 6: Final answer
    x = 2,212.93

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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.