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Finding the Fourth Proportional to 5,072.96, 7,590.72 and 3,072.81

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Solution

The fourth proportional to 5,072.96, 7,590.72 and 3,072.81 is: 4,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.96 : 7,590.72 = 3,072.81 : x
  2. Step 2: Convert to fraction form
    5,072.96/7,590.72 = 3,072.81/x
  3. Step 3: Cross multiply
    5,072.96x = 7,590.72 × 3,072.81
  4. Step 4: Simplify right side
    5,072.96x = 23,324,850.32
  5. Step 5: Solve for x
    x = 23,324,850.32/5,072.96
  6. Step 6: Final answer
    x = 4,597.88

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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.