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Finding the Fourth Proportional to 5,647.26, 8,471 and 2,716.68

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Solution

The fourth proportional to 5,647.26, 8,471 and 2,716.68 is: 4,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.26 : 8,471 = 2,716.68 : x
  2. Step 2: Convert to fraction form
    5,647.26/8,471 = 2,716.68/x
  3. Step 3: Cross multiply
    5,647.26x = 8,471 × 2,716.68
  4. Step 4: Simplify right side
    5,647.26x = 23,012,996.28
  5. Step 5: Solve for x
    x = 23,012,996.28/5,647.26
  6. Step 6: Final answer
    x = 4,075.07

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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.