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Finding the Fourth Proportional to 5,644.40, 7,791.48 and 4,074.60

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Solution

The fourth proportional to 5,644.40, 7,791.48 and 4,074.60 is: 5,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.40 : 7,791.48 = 4,074.60 : x
  2. Step 2: Convert to fraction form
    5,644.40/7,791.48 = 4,074.60/x
  3. Step 3: Cross multiply
    5,644.40x = 7,791.48 × 4,074.60
  4. Step 4: Simplify right side
    5,644.40x = 31,747,164.41
  5. Step 5: Solve for x
    x = 31,747,164.41/5,644.40
  6. Step 6: Final answer
    x = 5,624.54

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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.