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Finding the Fourth Proportional to 4,121.40, 5,648.92 and 4,092.60

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Solution

The fourth proportional to 4,121.40, 5,648.92 and 4,092.60 is: 5,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.40 : 5,648.92 = 4,092.60 : x
  2. Step 2: Convert to fraction form
    4,121.40/5,648.92 = 4,092.60/x
  3. Step 3: Cross multiply
    4,121.40x = 5,648.92 × 4,092.60
  4. Step 4: Simplify right side
    4,121.40x = 23,118,769.99
  5. Step 5: Solve for x
    x = 23,118,769.99/4,121.40
  6. Step 6: Final answer
    x = 5,609.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.