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Finding the Fourth Proportional to 4,902.73, 7,354.40 and 1,615.85

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Solution

The fourth proportional to 4,902.73, 7,354.40 and 1,615.85 is: 2,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.73 : 7,354.40 = 1,615.85 : x
  2. Step 2: Convert to fraction form
    4,902.73/7,354.40 = 1,615.85/x
  3. Step 3: Cross multiply
    4,902.73x = 7,354.40 × 1,615.85
  4. Step 4: Simplify right side
    4,902.73x = 11,883,589.97
  5. Step 5: Solve for x
    x = 11,883,589.97/4,902.73
  6. Step 6: Final answer
    x = 2,423.87

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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.