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Finding the Fourth Proportional to 4,806, 7,214.40 and 2,208.87

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Solution

The fourth proportional to 4,806, 7,214.40 and 2,208.87 is: 3,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 7,214.40 = 2,208.87 : x
  2. Step 2: Convert to fraction form
    4,806/7,214.40 = 2,208.87/x
  3. Step 3: Cross multiply
    4,806x = 7,214.40 × 2,208.87
  4. Step 4: Simplify right side
    4,806x = 15,935,671.73
  5. Step 5: Solve for x
    x = 15,935,671.73/4,806
  6. Step 6: Final answer
    x = 3,315.79

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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.