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Finding the Fourth Proportional to 4,806.89, 7,204.68 and 2,171.33

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Solution

The fourth proportional to 4,806.89, 7,204.68 and 2,171.33 is: 3,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.89 : 7,204.68 = 2,171.33 : x
  2. Step 2: Convert to fraction form
    4,806.89/7,204.68 = 2,171.33/x
  3. Step 3: Cross multiply
    4,806.89x = 7,204.68 × 2,171.33
  4. Step 4: Simplify right side
    4,806.89x = 15,643,737.82
  5. Step 5: Solve for x
    x = 15,643,737.82/4,806.89
  6. Step 6: Final answer
    x = 3,254.44

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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.