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Finding the Fourth Proportional to 5,504.72, 7,596.44 and 3,146.80

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Solution

The fourth proportional to 5,504.72, 7,596.44 and 3,146.80 is: 4,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.72 : 7,596.44 = 3,146.80 : x
  2. Step 2: Convert to fraction form
    5,504.72/7,596.44 = 3,146.80/x
  3. Step 3: Cross multiply
    5,504.72x = 7,596.44 × 3,146.80
  4. Step 4: Simplify right side
    5,504.72x = 23,904,477.39
  5. Step 5: Solve for x
    x = 23,904,477.39/5,504.72
  6. Step 6: Final answer
    x = 4,342.54

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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.