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Finding the Fourth Proportional to 4,856.84, 7,273.46 and 2,770.54

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Solution

The fourth proportional to 4,856.84, 7,273.46 and 2,770.54 is: 4,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.84 : 7,273.46 = 2,770.54 : x
  2. Step 2: Convert to fraction form
    4,856.84/7,273.46 = 2,770.54/x
  3. Step 3: Cross multiply
    4,856.84x = 7,273.46 × 2,770.54
  4. Step 4: Simplify right side
    4,856.84x = 20,151,411.87
  5. Step 5: Solve for x
    x = 20,151,411.87/4,856.84
  6. Step 6: Final answer
    x = 4,149.08

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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.