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Finding the Fourth Proportional to 4,813.79, 7,214.31 and 3,571.46

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Solution

The fourth proportional to 4,813.79, 7,214.31 and 3,571.46 is: 5,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.79 : 7,214.31 = 3,571.46 : x
  2. Step 2: Convert to fraction form
    4,813.79/7,214.31 = 3,571.46/x
  3. Step 3: Cross multiply
    4,813.79x = 7,214.31 × 3,571.46
  4. Step 4: Simplify right side
    4,813.79x = 25,765,619.59
  5. Step 5: Solve for x
    x = 25,765,619.59/4,813.79
  6. Step 6: Final answer
    x = 5,352.46

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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.