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Finding the Fourth Proportional to 4,951.62, 7,428.19 and 1,618.82

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Solution

The fourth proportional to 4,951.62, 7,428.19 and 1,618.82 is: 2,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.62 : 7,428.19 = 1,618.82 : x
  2. Step 2: Convert to fraction form
    4,951.62/7,428.19 = 1,618.82/x
  3. Step 3: Cross multiply
    4,951.62x = 7,428.19 × 1,618.82
  4. Step 4: Simplify right side
    4,951.62x = 12,024,902.54
  5. Step 5: Solve for x
    x = 12,024,902.54/4,951.62
  6. Step 6: Final answer
    x = 2,428.48

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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.