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Finding the Fourth Proportional to 5,174.41, 7,149.05 and 3,609.49

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Solution

The fourth proportional to 5,174.41, 7,149.05 and 3,609.49 is: 4,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.41 : 7,149.05 = 3,609.49 : x
  2. Step 2: Convert to fraction form
    5,174.41/7,149.05 = 3,609.49/x
  3. Step 3: Cross multiply
    5,174.41x = 7,149.05 × 3,609.49
  4. Step 4: Simplify right side
    5,174.41x = 25,804,424.48
  5. Step 5: Solve for x
    x = 25,804,424.48/5,174.41
  6. Step 6: Final answer
    x = 4,986.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.