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Finding the Fourth Proportional to 5,072.56, 7,615.68 and 2,609.12

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Solution

The fourth proportional to 5,072.56, 7,615.68 and 2,609.12 is: 3,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.56 : 7,615.68 = 2,609.12 : x
  2. Step 2: Convert to fraction form
    5,072.56/7,615.68 = 2,609.12/x
  3. Step 3: Cross multiply
    5,072.56x = 7,615.68 × 2,609.12
  4. Step 4: Simplify right side
    5,072.56x = 19,870,223.00
  5. Step 5: Solve for x
    x = 19,870,223.00/5,072.56
  6. Step 6: Final answer
    x = 3,917.20

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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.