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Finding the Fourth Proportional to 5,307.67, 7,961.37 and 2,536.30

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Solution

The fourth proportional to 5,307.67, 7,961.37 and 2,536.30 is: 3,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.67 : 7,961.37 = 2,536.30 : x
  2. Step 2: Convert to fraction form
    5,307.67/7,961.37 = 2,536.30/x
  3. Step 3: Cross multiply
    5,307.67x = 7,961.37 × 2,536.30
  4. Step 4: Simplify right side
    5,307.67x = 20,192,422.73
  5. Step 5: Solve for x
    x = 20,192,422.73/5,307.67
  6. Step 6: Final answer
    x = 3,804.39

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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.